# MAT 191-02 Calendar. Fall 2017.

Chapters and sections refer to our textbook, APEX Calculus 1 (Version 3.0) by Gregory Hartman.

• 1st Week, Aug. 21-25. Begin chapter 1, Limits.
• 1.1 An introduction to Limits
• 1.2 Epsilon Delta Definition of a Limit. (This is a long story that is covered thoroughly in MAT 401-403. We'll barely touch the surface.)
• 1.3 Finding Limits Analytically
• 2nd Week, Aug. 28 - Sept. 1. Chapter 1 (cont.)
• 1.4 One Sided Limits. Paper-and-pencil homework assignment, due Wednesday: Let $$f(x)=4x+6$$ when $$x\neq 10$$. Give an "$$\epsilon-\delta$$" proof showing that $$\displaystyle \lim_{x\to 10} f(x) = 46$$.
• 1.5 Continuity
• 1.6 Limits Involving Infinity
• 3rd Week, Sept. 4-8. Chapter 2, Derivatives.
• Labor Day holiday, Monday Sept. 4
• 2.1 Instantaneous Rates of Change: the Derivative.
• 2.2 Interpretation of the Derivative
• 4th Week, Sept. 11-15. Chapter 2 (cont.)
• 5th Week, Sept. 18-22. Chapter 2 (cont.)
• 2.5 The Chain Rule
• 2.6 Implicit Differentiation
• 6th Week, Sept. 25-29. Chapter 2 (cont.)
• 2.7 Derivatives of Inverse Functions
• Test Friday Sept. 29 Solutions
• 7th Week, Oct. 2-6. Chapter 3, The Graphical Behavior of Functions
• 3.1 Extreme Values
• 3.2 The Mean Value Theorem
• 3.3 Increasing and Decreasing Functions
• 8th Week, Oct. 9-13. Chapter 3 (cont.)
• 3.4 Concavity and the Second Derivative
• 3.5 Curve Sketching
• 9th Week, Oct. 16-20. Chapter 4, Applications of the Derivative
• 10th Week, Oct. 23-27. Chapter 4 (cont.)
• 4.3 Optimization
• 11th Week, Oct. 30 - Nov. 3. Chapter 4 (cont.)
• 4.4 Differentials
• Test Friday Nov. 3 Solutions
• 12th Week, Nov. 6-10. Chapter 5, Integration
• 5.1 Antiderivatives and Indefinite Integration
• 5.2 The Definite Integral
• Veterans' Day Holiday Friday Nov. 10
• 13th Week, Nov. 13-17. Chapter 5 (cont.)
• 5.4 The Fundamental Theorem of Calculus
• 5.3 Riemann Sums. What the "$$dx$$" means in $$\int f(x)\; dx$$.
• 14th Week, Nov. 20-24. Chapter 5 (cont.)
• Supplementary material: integrals of $$1/\sqrt{1-x^2}$$, $$1/(1+x^2)$$, and $$1/\sqrt{1+x^2}$$. Hyperbolic functions.
• Thanksgiving Holiday Thursday, Friday Nov. 23-24
• 15th Week, Nov. 27 - Dec. 1. Chapter 6 Techniques of Antidifferentiation
• 6.1 Substitution
• Another way to look at integration: slope fields
• 16th Week, Monday Dec. 4 only.
• Review
• Final Exam Monday, Dec. 11, 1-3pm