MATH 100:701 Differential Calculus (Vantage College)


News

  • The solutions to the midterms have been made available here and here
  • Homework 9 and Solution 8 are online
  • Homework 8 and Solution 7 are online
  • To enter the number π in WebWork, just type "pi", see here
  • Homework 7 is online, and so are Solutions 5 and 6
  • A summary of the elementary rules of differentiation
  • Solution 4 is online.
  • There is no assignment due on Friday, Oct 19. Assignment 5 is due Oct 26.
  • Additional pre-midterm office hour on Friday, Oct 12 12:30 -13:30 in Math 228.
  • Due to late posting of Homework 4, you will be marked only on Problem 1 this week. You are encouraged to try Problem 2.
  • Homework 4 and Solution 3 are online.
  • Here is a summary of the various tests for the convergence of series that we have seen.
  • The WeBWorK assignement is available through Canvas. The other entries you may see in Canvas are just empty placeholders.
  • Homework 3 and Solution 2 available.
  • Homework 2 is available, see below. Solution 1 is password protected.
  • Homework 1 is available, see below.
  • Welcome to the new term!

Basic Information

Lecture notes

Homework Assignments

Sheet Number Due Date Solution
Homework 9 November 23, 2018
Homework 8 November 16, 2018 Solution 8
Homework 7 November 9, 2018 Solution 7
Homework 6 November 2, 2018 Solution 6
Homework 5 October 26, 2018 Solution 5
Homework 4 October 12, 2018 Solution 4
Homework 3 October 05, 2018 Solution 3
Homework 2 September 28, 2018 Solution 2
Homework 1 September 21, 2018 Solution 1

Weekly lecture summaries
Week 11 Local and global minima and maxima. Critical points. Increasing and decreasing functions.
Week 10 The exponential function, the logarithm and trigonometric functions. Their derivatives.
Week 9 The chain rule. Motivation and examples. Implicit differentiation. Related rates.
Week 8 Differentiability. Motivation and definition. First examples. Rules: linearity, the product and quotient rules.
Week 7 Midterm I. Review, exam and discussion.
Week 6 Continuity. Definition. The Intermediate Value Theorem and existence of solutions.
Week 5 More on series. The ratio test. The alternating series test. Absolute and conditional convergence.
Week 4 Series. Definition and first examples. The geometric and harmonic series. The divergence test. The comparison tests.
Week 3 Limits at infinity. Sequences. Definition and convergence. Examples. The bounded monotone convergence theorem.
Week 2 Limits of functions. Definition and elementary examples. Infinite limits, non-existence of limits. Left and right limits.
Week 1 Introduction. Review of notations, sets, number sets, and functions.