Practice problems/Exams

April Exam:

Date: Tuesday, April 17, 2018
Time: The test starts at 3:30PM. Arrive early. There will be no allowances for late arrival.
Duration: 150 minutes.
Location: SRC A

Topics

Exam 2 covers material from Week 1 to Week 13 of Term 2, as per the course outline posted here. This corresponds to the material in the following sections of the textbook:

  • Section 2.9, except Logarithmic Differentiation
  • Section 2.6
  • Section 3.1
  • Section 3.2
  • Section 3.3
  • Section 3.4
  • Section 3.6
  • Section 3.7
  • Section 2.8, except Measurement Errors and Differentials
  • Section 3.5
  • Extra notes on Taylor Polynomials, posted here
  • Extra notes on antiderivatives, posted here

Exam 2 covers also material from Term 1. In particular, you should review the following topics:

  • Sections 1.0, 2.0, 2.1: Tangent lines, Rates of Change, and the Definition of Derivative
  • Sections 1.1, 1.2, 1.3: Limits at a point and Continuous Functions
  • Sections 2.2, 2.3, 2.4, 2.5: Differentiation Rules

Learning Goals

Sample Exams:

April 2016
April 2015
April 2014

Practice Problems

In addition to reviewing the written assignments and the questions on WeBWorK, here is a list of practice problems from the textbook.

  • Section 2.9: 1, 2, 4, 11, 12, 16, 17, 18, 19, 21, 22, 24, 28, 29.
  • Section 2.6: 1, 2, 3, 4, 6, 7, 8, 9, 10, 12, 13, 14, 17, 20, 21.
  • Section 3.1: 1, 2, 4, 6, 7, 8, 11, 13, 15, 21, 23, 25, 26, 27, 33, 34, 35, 40, 41.
  • Section 3.2: 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 17, 18, 19, 23.
  • Section 3.3: 1, 2, 3, 4, 5, 6, 7, 8, 11, 12, 13, 17, 18, 19, 20, 21, 22, 30.
  • Section 3.4: 1, 2, 3a-b-c, 4, 5, 8, 9, 10, 11, 12, 14, 15, 16, 18.
  • Section 3.6: 1, 3, 5, 6, 7, 9, 10, 12, 13, 14, 15, 19, 20, 22, 26, 29, 30, 31, 32, 34, 35, 36, 37, 40, 41, 42, 44, 47, 49.
  • Section 3.7: 3, 4, 5, 7, 8, 10, 11, 15, 16, 17, 20.
  • Section 2.8: 1, 2, 3, 4, 6, 7
  • Section 3.5: 1, 3, 5, 6, 7, 9, 10, 13, 17a, 24, 32.

Refer to the list of Practice Problems below to practise material from Term 1.

 

Midterm:
Tuesday, Feb 27, location: LSK 200, 6 pm, 90 minutes

Solution

Midterm Review Session:
Monday, Feb 26, 5:30-7:30pm, in MATX 1100

Sample Exams:

2016 February Exam, Solution
2013 February Exam (Ignore Q3) Solution

Topics:

Midterm 2 covers material from Week 2.1 to Week 2.7, as per the course outline posted here. This corresponds to the material in the following sections of the textbook:

  • Section 2.9 (except Logarithmic Differentiation)
  • Section 2.6
  • Section 3.1 (except Endpoint Extremes, Extreme Value Theorem)
  • Section 3.2
  • Section 3.3
  • Section 3.4
  • Section 3.6

Practice from the textbook:
Each section contains Practice Problems throughout the section. The solutions to these
Practice Problems are at the end of that section.
Each section also comes with a Problem Set at the end. The solutions to the odd problems of each set are at the end of each chapter.

Optimization: (S3.5)
Problem set: 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 13,15,16,17,18, 22, 24, 26, 29, 30, 31, 32

Asymptotes: (S3.6)
Problem set: 1, 3, 5, 6, 7, 9, 10, 12, 13, 14, 15, 19, 20, 22, 26, 29, 30, 31, 32, 34, 35, 36, 37, 40, 41, 42, 44, 47, 49.

Second Derivative: (S3.4)
Problem set: 1, 2, 3a-b-c, 4, 5, 8, 9, 10, 11, 12, 14, 15, 16, 18.

First Derivative Test: (S3.3)
Practice problems: 1,2,3,7,8,9
Problem set: 1-22

Critical numbers and MVT: (S3.1 & S3.2):
S3.1: Practice problems: 3,4
Problem set: 1-2, 3-14 (critical points only), 15, 16-25 (critical points only), 35-36.
S3.2: Practice problems: 1,2
Problem set: 1-4, 5-8, 10, 12, 13-15, 16c, 17, 18-19

Related Rates (S2.6):
Do all the problems at the end of the section.

Implicit Differentiation (S2.9):
Practice problems: 1,2,3,4
Problem set: All the problems 1-31