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 premidterm 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
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, nonexistence of limits. Left and right limits. 
Week 1 
Introduction. Review of notations, sets, number sets, and functions. 
