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Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067. Phone: (765) 494-1901 - FAX: (765) 494-0548 ...

She was great. I had Brian J. Krummel. I thought he was great with the fact that he’d always stop and ask for questions, I’ve also emailed him for help previously and he’s really accommodating and helpful. I had Xu Ping for 265 and 266. Really good professor who understands the content and doesn't hesitate to help.Lesson 24 - MA 166 LEC 200 qs- I;IQ on (L) (A) Coo Veer g Aso T. cue Seø-eS -FUM S Ðs4 p o 'R SCG? S ExMA 166 Assignment Sheet Spring 2021 Date Day Lesson Sections to Study Homework Jan. 20 W 1 13.1 & 13.2 Vectors in the plane & Vectors in the 3-dimensional space Jan. 21 Th Quiz 1 Lessons 1, 2 Warning: Lesson 2 is included in Quiz 1 Jan. 22 F 2 13.1, 13.2, 13.5 Geometry in the plane & Geometry in the 3-dimensional space Jan. 25 M 3 13.3 MLM ...Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067. Phone: (765) 494-1901 - FAX: (765) 494-0548 ...The Purdue OWL, Purdue U Writing Lab. Accessed 18 Jun. 2018. MLA (Modern Language Association) style is most commonly used to write papers and cite sources within the liberal arts and humanities. This resource, updated to reflect the MLA Handbook (9th ed.), offers examples for the general format of MLA research papers, in-text citations ...Exams will be open-textbook and notes, but no other books, no calculators, computers, phones, or watches. Each midterm exam will be worth 100 points, the homework grade will be scaled to 100 points, and the final will be worth 200 points. Your MA 366 Lab score will be scaled to 100 points. Total points: 600.The Syllabus of MA 266 . Slide in section 10.1 . Webpages . Course (MA 266) webpage in Math department ; Wiley Plus login page for section 113; Wiley Plus login page for section 121; the ODE software for Matlab . Exams Exam 1 (Feb 19 (Wed) 8:00 pm - 10:00 pm in MSEE B012) Sec 1.1 through Sec 2.7. There will be no class at Feb 20th.

New Purdue Airport flight: 3:30pm-3:35pm 2. upvotes ... MA 166 curve ? comment. r/Purdue. r/Purdue. Welcome to Purdue! Members Online. MA 265 Potential Curve ... Spring 2022 - MA166 - Hood (2:30) - Final Exam Review - Wednesday. From Kaitlyn T. Hood April 27th, 2022. views comments. MA 166 Assignment Sheet Spring 2023 (Version Jan.4, 2023) Date Day Lesson Topics to Cover Section # due HW, Quiz.MA166 Curve Predictions? Question . Exam Averages for our class: 60, 70 , 54. What do you think the curve will probably be from historical curves for F - D, D- C, C - B , B - A …From Kaitlyn T. Hood April 25th, 2022. 133 133 plays 9. Spring 2022 - MA166 - Hood (2:30) 50:00 duration 50 minutes 0 seconds.MA 16200, Spring 2024Plane Analytic Geometry And Calculus II. MA 16200, Spring 2024. Credit Hours: 5.00. Continuation of MA 16100. Vectors in two and three dimensions, techniques of integration, infinite series, conic sections, polar coordinates, surfaces in three dimensions. Some schools or departments may allow only 4 credit hours toward ...Are you tired of paying high electric rates? If you are a National Grid MA customer, there are several steps you can take to lower your electric bills. In this article, we will pro...Purdue MA 166 2018 final exam - Free download as PDF File (.pdf), Text File (.txt) or read online for free. Purdue MA 166 Final Exam

other course syllabus ma 166 spring 2022 credit hours class website instructor information prof. kaitlyn hood office hours: are the ... Purdue MA 166 Exam 3 Complete ... Dr. Joseph Chen's BoilerCast Videos and Lecture Notes (new site here) MA 303 (Spring 2024) MA 162 (Fall 2023) MA 261 (Spring 2023) MA 161 (Spring 2022)Are you searching for properties in Randolph, MA? Look no further than 128 York Ave. This article will provide you with a complete guide on finding properties on this sought-after ...MA 26100, Spring 2024 Course Description. Credit Hours: 4.00. Planes, lines, and curves in three dimensions. Differential calculus of several variables; multiple integrals. Introduction to vector calculus. ... Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067.Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067. Phone: (765) 494-1901 - FAX: (765) 494-0548 ...Patel: Spring 2024 MA 166-286 LEC Yeung: Spring 2024 MA 166-200 LEC Warning: All the MyLabMath related business should be done through your REC le, NOT through the LEC les mentioned above. 3. Schedule: You can nd the detailed schedule for the lectures, home-works, quizzes, and exams on the Assignment Sheet, which is posted in the

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162 is not harder than 166. Both courses cover the same material and have the same homework. 162 has an extra credit because it has 2 recitations every week while 166 only has 1 recitation every week. Take 166. They sometimes have group quizzes which almost everyone gets a 100 on so..of calculus, the full access code (multi-semester) is good for all the Calculus courses (MA 16100, MA 16200, MA 16500, MA 16600, and MA 26100) since they use the same textbook.Greetings! I teach at Ivy Tech and am currently teaching MATH 212 there. I would NOT recommend taking MATH 212 on your way to an engineering degree. Both courses build on earlier work in integration and introduce infinite series. MA 166 spends time on 2- and 3-dimensional vectors where MATH 212 spends time on solving basic differential equations.MA 16020, Fall 2021. Credit Hours: 3.00. This course covers techniques of integration; infinite series, convergence tests; differentiation and integration of functions of several variables; maxima and minima, optimization; differential equations and initial value problems; matrices, determinants, eigenvalues and eigenvectors. Applications.Purdue MA 166 2018 final exam - Free download as PDF File (.pdf), Text File (.txt) or read online for free. Purdue MA 166 Final ExamIn this video, I go over the all the concepts for calc 2 (MA 162, 166) exam 2 part 1: including partial fractions, improper integrals and sequences.Part 1 of...

New Purdue Airport flight: 3:30pm-3:35pm 2. upvotes ... MA 166 Curve upvotes ...MA 166 Assignment Sheet Spring 2024 Date Day Lesson Topics to Cover Section # due HW, Quiz Jan.8 M 1 Vectors in the plane 13.1, 13.2 Vectors in the 3-dimensional space Jan.10 W 2 Geometry in the plane 13.1, 13.2, 13.5 Geometry in the 3-dimensional space Jan.11 Th Quiz 1 covers Lessons 1, 2 (due Thurs., Jan.18) Jan.12 F 3 Dot Products 13.3Past Exam Archive. These old exams are provided as a study resource for current students. Answer keys and solutions are provided when available. Exams, answers and solutions not offered here are not available through this website.Section Room Time Instructor Office; MA 16200 200 : EE 129 : 7:30am : MWF : Chen, Kuan-Hua Joe: MATH 848 : MA 16200 206 : REC 313 : 8:30am 4 STUDY GRID Less. Sec. You should be able to: You should know: Practice Problems 1 13.1 13.2 C2 Exam 3 Notes - Purdue MA 166 Exam 3 Complete Review Guide 2021-2022. Calculus 2 Final Review. AP Calculus BC limits - Lecture notes 1. On Studocu you find all the lecture notes, summaries and study guides you need to pass your exams with better grades.C2 Exam 3 Notes - Purdue MA 166 Exam 3 Complete Review Guide 2021-2022; Calculus 2 Final Review; AP Calculus BC limits - Lecture notes 1; Preview text. Integralsto know xp ax s f the feat tear C sin dx cost C I Intl C cost ax sinx C fat statant E C see'xdx tank C fat sink C sextantda seen C. Trig Identities toknow Given Sin's cost 1 tan'x 1 ...MA162 VS MA166 : r/Purdue. r/Purdue. • 3 yr. ago. noahsmith317. MA162 VS MA166. Can anyone explain the difference between these two classes? I know that 166 is a … MA 16600, Spring 2023Analytic Geometry And Calculus II. Credit Hours: 4.00. Continuation of MA 16500. Vectors in two and three dimensions. Techniques of integration, infinite series, polar coordinates, surfaces in three dimensions. Not open to students with credit in MA 16200. CTL:IMA 1603 Calculus - Long II. 162 is not harder than 166. Both courses cover the same material and have the same homework. 162 has an extra credit because it has 2 recitations every week while 166 only has 1 recitation every week. Take 166. They sometimes have group quizzes which almost everyone gets a 100 on so..Course # Sec CRN Days Time Instructor Room Office; MA 30300: 1: 122: 10277: MWF: 07:30 AM - 08:20 AM: Chen, Kuan-Hua: SCHM 313: MATH 848: MA 26600: 2: 916: 24153: MWF ...Purdue's Weldon School of Biomedical Engineering strives to become the premier source of scientific discoveries and of well-educated biomedical engineers. BME Course Descriptions - Biomedical Engineering - Purdue University ... Prerequisites: CHM 116, ENGR 131 & 132, and MA 166, or equivalents. Corequisites: BIOL 230.

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MA 166 Assignment Sheet Spring 2021 Date Day Lesson Sections to Study Homework Jan. 20 W 1 13.1 & 13.2 Vectors in the plane & Vectors in the 3-dimensional space Jan. 21 Th Quiz 1 Lessons 1, 2 Warning: Lesson 2 is included in Quiz 1 Jan. 22 F 2 13.1, 13.2, 13.5 Geometry in the plane & Geometry in the 3-dimensional space Jan. 25 M 3 13.3 MLM ...Ground Rules for MA 166 - Spring 2021 1. Structure of the lectures: The lecturer (Matsuki) delivers a \in-person" lecture 11:30 AM - 12:20 PM on MWF at WHTR 200, which has the capacity of holding 240 with social distancing, while we have over 600 students for the entire course. Each lecture is video-taped through Boiler-cast.The difference is that the C hurts more in 162 because it's 5 credits versus 166 which is 4 credits. 162 has slightly easier exams, 1 extra recitation, and therefore 1 extra quiz that you must take by yourself. 166 has slightly harder exams, 1 less recitation, and therefore 1 less quiz that I believe you take in groups. 162 is 5 credits and 166 ...Exam 3 Answer Keys – MA 166 – Spring 22 . Version 11 – Green – In Person . Question Answer 1 B 2 E 3 A 4 D 5 A 6 C 7 C 8 B 9 D 10 E 11 E 12 C . Version 33 – Orange – In PersonMA 162: Plane Analytic Geometry And Calculus II Spring 2024, Purdue University GENERAL COURSE INFORMATION Lecture information SECTION: 011 SECTION: 033 TIME: MWF 9:30 am TIME: MWF 11:30 am LOCATION: BHEE 129 LOCATION: CL50 224 INSTRUCTOR: Dominic Naughton INSTRUCTOR: Shuyi Weng EMAIL: …Exam 2 Answer Keys – MA 166 – Spring 22 . Version 11 – Green – In Person . Question Answer 1 B 2 C 3 E 4 D 5 C 6 D 7 A 8 E 9 B 10 A 11 D 12 A . Version 33 – Orange – In PersonPurdue MA 166 2018 final exam - Free download as PDF File (.pdf), Text File (.txt) or read online for free. Purdue MA 166 Final ExamMA 26100, Spring 2024 Course Description. Credit Hours: 4.00. Planes, lines, and curves in three dimensions. Differential calculus of several variables; multiple integrals. Introduction to vector calculus. ... Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067.Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067. Phone: (765) 494-1901 - FAX: (765) 494-0548 ...

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162 is not harder than 166. Both courses cover the same material and have the same homework. 162 has an extra credit because it has 2 recitations every week while 166 only has 1 recitation every week. Take 166. They sometimes have group quizzes which almost everyone gets a 100 on so.. S2Mi a g ) 11 (9 < ) Title: Lesson 29 - MA Author: ektul Created Date: 4/6/2022 3:45:55 PMMA 166. I am an in my (undisclosed) year and I need to retake calculus 2. I got under a 30 percent the first time I took it. I decided to put it off for a while. Now I am deciding to go back to it. I would like to get at least a C. What can I do so that I don’t fail again. Some things that helped me... I think the biggest thing you can do ...Home - Department of Mathematics - Purdue UniversityMA 162 or 166? Kaitlyn Hood is scheduled for 166, while Dominic Naughton and Andrey Glubokov are scheduled for 162. Anyone have advice for which professor is the best? Not familiar with the others, but Prof Naughton is great! Has great stories/ analogies, and made calc 3 enjoyable. I really liked Naughton's lectures for MA 261.Takers of each course may claim that their version is harder, but the only real difference is that MA 162 is 5 credits and has 2 weekly recitations, while MA 166 is 4 credits and has … MA 16600, Spring 2024 Course Description. Credit Hours: 4.00. Continuation of MA 165. ... Department of Mathematics, Purdue University, 150 N. University Street, West ... MA166 Curve Predictions? Question . Exam Averages for our class: 60, 70 , 54. What do you think the curve will probably be from historical curves for F - D, D- C, C - B , B - A …Trust me. Reply. buckeye269. • 8 yr. ago. MA 162 has 1 extra recitation per week, totaling 2, while MA 166 has just 1. I took 166 and did just fine. I'm not sure if 162 requires any extra quizzes or homework due in the extra recitation, but I do know that the 162 recitation quizzes are individial while the 166 quizzes were a group effort.Department of Mathematics Purdue University 150 N. University Street West Lafayette Indiana 47907-2067 MATH 702work Work Phone: (765) 496-6053work Work ...MA 166: 1 recitation per week, longer collaborative quiz. MA 162: 2 recitations per week, shorter quiz with no help. Wow ok there are already some misunderstandings here. 162 Is a 5 credit hour course: 1 hour for each of the 3 weekly lectures and 1 hour for each of the 2 weekly recitations. 166 is a 4 credit hour course: 1 hour for each of the ... ….

Show Details. 44 Media. Fall 2019 - MA162 - Chen. 59:59 duration 59 minutes 59 seconds. Fall 2019 - MA162 - Chen. Fall 2019 - MA162 - Chen. Kuan-hua J Chen. New Purdue Airport flight: 3:30pm-3:35pm 2. upvotes ... MA 166 Curve upvotes ... 10-15%, the avg of the three exams is 61.33. They usually curve avg to about 70-75. 2. Reply. Light_Pickle284. • 2 yr. ago • Edited 2 yr. ago. Jeez, 162 Exam 3’s was not that low. What was covered in that one for you guys?MA 13700: Mathematics For Elementary Teachers I: MA 13800: Mathematics For Elementary Teachers II: MA 13900: Mathematics For Elementary Teachers III: MA 15300: College Algebra: MA 15555: ... Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067.Massachusetts Institute of Technology, 2014. [email protected] Personal Website. Bernd Ulrich Professor of Mathematics MATH 822; 765 49-41968; University of Saarland, 1980 ... Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067.MA161, MA162, MA165, MA166, & MA261, Text: Finney, Weir, and Giordano (2001), Stewart (2015). Section 2 Determinants and Matrix Algebra. Topics. The topics ...Reply. Drako1112. • 2 yr. ago • Edited 2 yr. ago. Yes, MA 166 = MA 162 => MA 16020. Have a friend who transferred from engineering to polytech w/ MA 162 and it was fine. Edit: MA 16020 doesn't count for MA 166 or MA 162 credit though. In fact, you would have to take MA 166 or MA 162 for those classes (which I'm contemplating b/c I find [email protected]. Elena Coda, [email protected]. LIBR/ILS, Karen Hum, [email protected]. LING, Daniella Beard, [email protected]. MA, Arshak Petrosyan, arshak ...Exam 2 Answer Keys – MA 166 – Spring 22 . Version 11 – Green – In Person . Question Answer 1 B 2 C 3 E 4 D 5 C 6 D 7 A 8 E 9 B 10 A 11 D 12 A . Version 33 – Orange – In PersonIf you’re planning a trip from Port Chester, NY to Marlboro, MA, understanding the distance between these two cities is crucial. Whether you’re driving or taking public transportat... Ma 166 purdue, 4 STUDY GRID Less. Sec. You should be able to: You should know: 1 13.1 13.2, Purdue's Weldon School of Biomedical Engineering strives to become the premier source of scientific discoveries and of well-educated biomedical engineers. Prospective Students - Biomedical Engineering - Purdue University ... Prerequisites: CHM 116, ENGR 131 & 132, and MA 166, or equivalents. Corequisites: BIOL 230;, MA 166 Assignment Sheet Spring 2021 Date Day Lesson Sections to Study Homework Jan. 20 W 1 13.1 & 13.2 Vectors in the plane & Vectors in the 3-dimensional space Jan. 21 Th Quiz 1 Lessons 1, 2 Warning: Lesson 2 is included in Quiz 1 Jan. 22 F 2 13.1, 13.2, 13.5 Geometry in the plane & Geometry in the 3-dimensional space Jan. 25 M 3 13.3 MLM ..., Home - Department of Mathematics - Purdue University, Patel: Spring 2024 MA 166-286 LEC Yeung: Spring 2024 MA 166-200 LEC Warning: All the MyLabMath related business should be done through your REC le, NOT through the LEC les mentioned above. 3. Schedule: You can nd the detailed schedule for the lectures, home-works, quizzes, and exams on the Assignment Sheet, which is posted in the, 4 STUDY GRID Less. Sec. You should be able to: You should know: 1 13.1 13.2, New Purdue Airport flight: 3:30pm-3:35pm 2. upvotes ... MA 166 Curve upvotes ..., Continuation of MA 16100. Vectors in two and three dimensions, techniques of integration, infinite series, conic sections, polar coordinates, surfaces in three dimensions. Some schools or departments may allow only 4 credit hours toward graduation for this course., Reply. Drako1112. • 2 yr. ago • Edited 2 yr. ago. Yes, MA 166 = MA 162 => MA 16020. Have a friend who transferred from engineering to polytech w/ MA 162 and it was fine. Edit: MA 16020 doesn't count for MA 166 or MA 162 credit though. In fact, you would have to take MA 166 or MA 162 for those classes (which I'm contemplating b/c I find ..., Ground Rules for MA 166 Spring 2023 Version 5:00 PM, Jan. 8, 2023 1. Structure of the lectures: The lecturers (Prof. Sunkula and Matsuki) deliver \in-person" lectures MWF (Sunkula at 4:30 PM in WTHR 200, Matsuki at 10:30 AM in BHEE 129). Although we do not take attendance, understanding the content of each lecture by attending the lecture in person, Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067. Phone: (765) 494-1901 - FAX: (765) 494-0548 ..., Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067. Phone: (765) 494-1901 - FAX: (765) 494-0548 ..., 4 STUDY GRID Less. Sec. You should be able to: You should know: Practice Problems 1 13.1 13.2, S2Mi a g ) 11 (9 < ) Title: Lesson 29 - MA Author: ektul Created Date: 4/6/2022 3:45:55 PM, [email protected]. Elena Coda, [email protected]. LIBR/ILS, Karen Hum, [email protected]. LING, Daniella Beard, [email protected]. MA, Arshak Petrosyan, arshak ..., MA 16100 Spring 2024 Instructor/Coordinator: Dr. Daniel Johnstone Meeting Times: MWF 4:30-5:20 in WTHR 200 ... Email: [email protected] Office Hours: 1:30-3:30 MW, 1:30-2:30 F Office: MA 438 General Information Lectures Lectures will take place in-person 4:30-5:30 in WTHR 200. You are expected to attend every lecture and are responsible …, MA 16100, Spring 2024Plane Analytic Geometry And Calculus I. MA 16100, Spring 2024. Credit Hours: 5.00. Introduction to differential and integral calculus of one variable, with applications. Some schools or departments may allow only 4 credit hours toward graduation for this course. Designed for students who have not had at least a one-semester ..., Study Guide for Exam 2 1. You are supposed toZknow how to carry out the integration by parts Z • Indefinite form udv = uv − vdu Z b Z b b vdu udv = [uv]a − • Definite form a a Example Problems 1.1. Compute the following integrals: Z (i) xex dx Z ex sin xd. Solutions available. MA 166. Purdue University., # 3, 9, 10, 1 1, 16, 24, 27, 33, 34, 37 11 8.3 - Evaluate integrals involving powers of sine and cosine - Evaluate trigonometric integrals, Greetings! I teach at Ivy Tech and am currently teaching MATH 212 there. I would NOT recommend taking MATH 212 on your way to an engineering degree. Both courses build on earlier work in integration and introduce infinite series. MA 166 spends time on 2- and 3-dimensional vectors where MATH 212 spends time on solving basic differential equations., View MA 166 Syllabus.pdf from MA 166 at Purdue University. COURSE SYLLABUS ∙ MA 166 ∙ SPRING 2022 4 CREDIT HOURS CLASS WEBSITE https:/www.math.purdue.edu/~kthood ..., MA 166 Exam 1 Tues., Feb. 10, 2015 8:00 p.m. – 9:00 p.m. INSTRUCTOR LOCATION Alex Carignan SMTH 108 V. Gouthaman MTHW 210 Max Jeter LOEB PLAYHOUSE Kelsey Lafferty LOEB PLAYHOUSE Daniel McNall LOEB PLAYHOUSE Avram Steiner LOEB PLAYHOUSE Razan Taha LILY G126 ..., Home - Department of Mathematics - Purdue University, MA 26100, Spring 2024 Course Description. Credit Hours: 4.00. Planes, lines, and curves in three dimensions. Differential calculus of several variables; multiple integrals. Introduction to vector calculus. ... Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067., of calculus, the full access code (multi-semester) is good for all the Calculus courses (MA 16100, MA 16200, MA 16500, MA 16600, and MA 26100) since they use the same textbook., Trust me. Reply. buckeye269. • 8 yr. ago. MA 162 has 1 extra recitation per week, totaling 2, while MA 166 has just 1. I took 166 and did just fine. I'm not sure if 162 requires any extra quizzes or homework due in the extra recitation, but I do know that the 162 recitation quizzes are individial while the 166 quizzes were a group effort., MA 162: Plane Analytic Geometry And Calculus II Spring 2024, Purdue University GENERAL COURSE INFORMATION Lecture information SECTION: 011 SECTION: 033 TIME: MWF 9:30 am TIME: MWF 11:30 am LOCATION: BHEE 129 LOCATION: CL50 224 INSTRUCTOR: Dominic Naughton INSTRUCTOR: Shuyi Weng EMAIL: …, Study Guide for Exam 2 1. You are supposed toZknow how to carry out the integration by parts Z • Indefinite form udv = uv − vdu Z b Z b b vdu udv = [uv]a − • Definite form a a Example Problems 1.1. Compute the following integrals: Z (i) xex dx Z ex sin xd. Solutions available. MA 166. Purdue University., C2 Exam 3 Notes - Purdue MA 166 Exam 3 Complete Review Guide 2021-2022; Calculus 2 Final Review; AP Calculus BC limits - Lecture notes 1; Preview text. Integralsto know xp ax s f the feat tear C sin dx cost C I Intl C cost ax sinx C fat statant E C see'xdx tank C fat sink C sextantda seen C. Trig Identities toknow Given Sin's cost 1 tan'x 1 ..., Exam 3 Answer Keys – MA 166 – Spring 22 . Version 11 – Green – In Person . Question Answer 1 B 2 E 3 A 4 D 5 A 6 C 7 C 8 B 9 D 10 E 11 E 12 C . Version 33 – Orange – In Person , MA 13700: Mathematics For Elementary Teachers I: MA 13800: Mathematics For Elementary Teachers II: MA 13900: Mathematics For Elementary Teachers III: MA 15300: College Algebra: MA 15555: ... Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067., Reply. Drako1112. • 2 yr. ago • Edited 2 yr. ago. Yes, MA 166 = MA 162 => MA 16020. Have a friend who transferred from engineering to polytech w/ MA 162 and it was fine. Edit: MA 16020 doesn't count for MA 166 or MA 162 credit though. In fact, you would have to take MA 166 or MA 162 for those classes (which I'm contemplating b/c I find ..., Share your videos with friends, family, and the world