The Final Exam will take place in Coliseum 1015 (the usual lecture hall) on Tuesday, May 3, 2022 at 9:00 am.

The exam is 150 minutes long. No notes, books, computers, phones, calculators or other aids are allowed. Full credit will not be awarded for insufficient accompanying work.

You will be provided with a reference sheet for convergence tests.

The final exam is cumulative. You are expected to know all the material from prerequisite math courses and the material from Midterm 1, 2, and 3. In addition, you will be tested on the following new topics:

• 7.1 Parametric Equations
• 7.2 Calculus of Parametric Curves
• 7.3 Polar Coordinates
• 7.4 Area and Arc Length in Polar Coordinates

From the new material, you do not need to know the following:

• Area under a Parametric Curve
• Surface Area generated by a Parametric Curve

Here is a sample exam which has a similar length, difficulty, and format to your final exam.

Midterm 3 has been graded. You should receive your graded exam in an email shortly. If you have not received your exam before Tuesday (Apr. 19), then contact the instructor. The exam and solutions can be found under resources tab.

Just this week, my office hours will be:

• Wednesday 10:30-11:30 and 12:30-1:30
• Thursday 1:30-2:30

In particular, I will not have office hours on Tuesday.

Midterm 3 will take place during the scheduled class period on Thursday, April 7, 2022.

The exam is 75 minutes long. No notes, books, computers, phones, calculators or other aids are allowed. Full credit will not be awarded for insufficient accompanying work.

You will be provided with a reference sheet for convergence tests.

The midterm will focus on the following sections from the text:

• 6.1 Power Series and Functions
• 6.2 Properties of Power Series
• 6.3 Taylor and Maclaurin Series
• 6.4 Working with Taylor Series

You are expected to know all the material from prerequisite math courses and the material from Midterm 1 and 2.

You should definitely memorize Table 6.1 from the text, which is a list of Taylor series of common functions.

You do not need to know remainder estimate for Taylor series.

Here is a sample exam which has a similar length, difficulty, and format to your midterm.

Midterm 2 has been graded. You should receive your graded exam in an email shortly. If you have not received your exam before Wednesday (Mar. 23), then contact the instructor. The exam and solutions can be found under resources tab.

Midterm 2 will take place during the scheduled class period on Thursday, March 17, 2022.

The exam is 75 minutes long. No notes, books, computers, phones, calculators or other aids are allowed. Full credit will not be awarded for insufficient accompanying work.

You will be provided with a reference sheet for convergence tests.

The midterm will focus on the following sections from the text:

• 5.1 Sequences
• 5.2 Infinite Series
• 5.3 Divergence and Integral Tests
• 5.4 Comparison Tests
• 5.5 Alternating Series
• 5.6 Ratio and Root Tests

You are expected to know all the material from prerequisite math courses and the material from Midterm 1.

You should know but not memorize the following:

• Convergence Tests
• Remainder estimate for integral test
• Remainder estimate for alternating series test

Here is a sample exam which has a similar length, difficulty, and format to your midterm.

Midterm 1 has been graded. You should receive your graded exam in an email shortly. If you have not received your exam before Monday (Feb. 14), then contact the instructor. The exam and solutions can be found under resources tab.

Here is a sample exam which has a similar length, difficulty, and format to your midterm. You may find sample exams from all the previous times I taught Math 142 under the resources tab.

Midterm 1 will take place during the scheduled class period on Thursday, February 10, 2022.

The exam is 75 minutes long. No notes, books, computers, phones, calculators or other aids are allowed. Full credit will not be awarded for insufficient accompanying work.

The midterm will focus on the following sections from the text:

• 3.1 Integration by Parts
• 3.2 Trigonometric Integrals
• 3.3 Trigonometric Substitution
• 3.4 Partial Fractions
• 3.6 Numerical Integration
• 3.7 Improper Integrals

You should memorize integrals 1-16 from Appendix A.

You are expected to know all the material from prerequisite math courses (e.g. special values for trigonometric functions, half-angle formulas, finding limits, and computing derivatives). In particular, see Calculus: Volume 1 and Chapter 1 for material from Math 141. In particular, you should have memorized 1-24 from Appendix B, and the material from Appendix C with the exceptions below.

You should know but not memorize the following:

• Addition and Subtraction Trigonometry Formulas
• Trapezoid Rule and Error Formula
• Simpson’s Rule and Error Formula

You do not need to know the following:

• Binomial Theorem
• Hyperbolic Trigonometric Functions
• The Midpoint Rule
• Comparison Rule for Improper Integrals

A practice exam will be posted later today which will have similar length, difficulty, and format to your exam. I will also post all my old exams from previous semesters when I taught Math 142.

Math 152 is a 1-credit course which runs simultaneously with Math 142. It is recommended for at-risk students in Math 142. For more information, please consult the syllabus for Math 152. The first meeting is January 20.

This website will be the main source of information for the course outside of lecture. Announcements for the course will be posted on the website here. You can also find the course syllabus, lecture schedule, and additional resources.

As the course progresses, you can check your grades on Blackboard and do online homework assignments and gateway exams on WebWork. You’ll need to go through Blackboard the first time you use WebWork in order to set up your account.

We will be using the free online textbook Calculus Volume 2 from the OpenStax organization. (The “official” textbook Thomas’ Calculus listed at the bookstore is optional.)

The teaching assistant, Theodoros Anastasiadis, will discuss the WebWork system in your lab section of the course on Monday, January 10. The course syllabus will be discussed in the first lecture on Tuesday, January 11.

Looking forward to meeting you!