MATH 100:701 Differential Calculus (Vantage College)

News

• Solution 10 is online.
• The final examination is comprehensive. It is taking place on December 04, 08:30 - 11:00 in ESB 1013
• There will be an additional office hour on Monday, December 03, 10:00 -11:50 in MATX 1102
• More resources to prepare for the final: A wiki with past exams, maintained by graduate students.
• Homework 10 (the last one!) and Solution 9 are online.
• 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 10 November 30, 2018 Solution 10 Homework 9 November 23, 2018 Solution 9 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 13 A few words on optimisation. Concluding remarks. Review of material. Week 12 More on local extrema. Convex and concave functions. Inflection points. Curve sketching. L'Hospital rule. 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.