MAT 131, Analytic Geometry & Calculus I Textbook: Author: Hartman, Siemers, Heinold, Chalishajar Title: Apex Calculus, Version 4.0 Available at: https://drive.google.com/file/d/1qH51JekX6yfhU8E4X8ZXoP9C3iLde99H/view Purchase: Apex Calculus, Version 4.0, Copyright 2018, Gregory Hartman, Ph.D. at: www.apexcalculus.com Software: MyOpenMath https://www.myopenmath.com -------------------------------------------- Students Enrolling in MyOpenMath: 0.) If you have used MyOpenMath before, log in and skip to step 6 1.) Go to www.myopenmath.com 2.) Click on “Register as a New Student” 3.) Enter a username, I recommend using your first initial and last name. 4.) Choose and confirm a password, one you will not forget 5.) Enter your first and last names, and the e-mail address you check most often 6.) Enter the Course ID: 7.) Enter the Enrollment Key: Note: If you have used MyOpenMath before and do not remember your username and/or password, you can click the links underneath the log-in boxes to retrieve them. ----------------------------------- Outline for MAT 131, which meets twice a week. Day # Material Covered 1 An Introduction to Limits (1.1) 2 Finding Limits Analytically (1.3) 3 One-Sided Limits and Continuity (1.4-1.5) 4 Limits Involving Infinity (1.6) 5 Instantaneous Rates of Change and Interpretations of the Derivative (2.1-2.2) 6 Basic Differentiation Rules (2.3) 7 The Product and Quotient Rules (2.4) 8 Review for Exam #1 9 EXAM #1 (Chapter 1, 2.1-2.4) 10 The Chain Rule (2.5) 11 Implicit Differentiation (2.6) 12 Related Rates (4.2) 13 Derivatives of Inverse Functions (2.7) 14 Extreme Values and the Mean-Value Theorem (3.1-3.2) 15 Increasing and Decreasing Functions, Concavity and the Second Derivative (3.3-3.4) 16 Curve Sketching (3.5) 17 Optimization and Differentials (4.3-4.4) 18 Review for Exam #2 19 EXAM #2 (Sections 2.5-2.7, Chapters 3-4) 20 Antiderivatives and the Indefinite Integral (5.1) 21 Definite Integrals (5.2) 22 Riemann Sums (5.3) 23 The Fundamental Theorem of Calculus (5.4) 24 Substitution (6.1) Traditional Calc 1 substitutions 25 Review for Exam #3 26 EXAM #3 (Chapter 5, Section 6.1) 27 Area Between Curves (7.1) 28 Review for Final Exam 29 FINAL EXAM (Cumulative)