## Math 119 Calculus With Analytic Geometry (Spring 2022)

#### This page is for archival purposes only! Students should use ODTU-Class

There will be 28 lectures given by the instructors, each lasting 2 class hours. The actual timing of the lectures will differ slightly from section to section because of the holidays, but the total number will be the same. Besides these lectures, there will be recitations, 2 hours per week, during which the assistants will solve extra problems and give quizzes.

The table below is a rough guideline for the content of course lectures. Professors may reorder content as necessary/desired. The section and page numbers below are from the textbook, Calculus, by James Stewart, 7th international metric ed., 2012.

Exam dates will be determined by the administration and are currently only approximate guesses.

 Week 1: Mar.7-11 1 Chapter 1. Functions and Models§1.4: Exponential Functions. §1.5: Inverse Functions and Logarithms. 2 Chapter 2. Limits and Derivatives§2.1: The Tangent and Velocity Problems. §2.2: The Limit of a Function. Week 2: Mar.14-18 3 §2.3: Calculating Limits Using the Limit Laws. §2.5: Continuity. 4 §2.4: The Precise Definition of a Limit. Week 3: Mar.21-25 5 §2.6: Limits at Infinity; Horizontal Asymptotes. 6 §2.7: Derivatives and Rates of Change. §2.8: The Derivative as a Function. Week 4: Mar.28-Apr.1 7 Chapter 3. Differentiation Rules§3.1: Derivatives of Polynomials and Exponentials. §3.2: The Product and Quotient Rules. 8 §3.3: Derivatives of Trigonometric Functions. §3.4: The Chain Rule. Week 5: Apr.4-8 9 §3.5: Implicit Differentiation. 10 §3.6: Derivatives of Logarithmic Functions. Week 6: Apr.11-15 11 §3.9: Related Rates. 12 §3.10: Linear Approximations and Differentials. Week 7: Apr.18-22 13 Chapter 4. Applications of Differentiation§4.1: Maximum and Minimum Values. §4.2: The Mean Value Theorem. 14 §4.3: How Derivatives Affect the Shape of a Graph. Week 8: Apr.25-29 15 §4.4: Inteterminate Forms and l'Hospital's Rule. §4.5: Summary of Curve Sketching. 16 §4.7: Optimization Problems. HOLIDAY: Mon-Wed, 2-4 April Week 9: May 9-13 17 §4.9: Antiderivatives. 18 Chapter 5. Integrals§5.1: Areas and Distances. Week 10: May 16-20 19 §5.2: The Definite Integral. §5.3: The Fundamental Theorem of Calculus. 20 §5.4: Indefinite Integrals and the Net Change Theorem. Holiday: Thursday, 19 May Week 11: May 23-27 21 §5.5: The Substitution Rule. Chapter 6. Applications of Integration§6.1: Areas between Curves. §6.2: Volumes (Disks). 22 §6.3: Volumes by Cylindrical Shells. Week 12: May 30-June 3 23 Chapter 7. Techniques of Integration§7.1: Integration by Parts. 24 §7.2: Trigonometric Integrals. Week 13: June 6-10 25 §7.3: Trigonometric Substitution. 26 §7.4.1: Integration of Rational Functions by Partial Fractions (I, II). Week 14: June 13-17 27 §7.4.2: Integration of Rational Functions by Partial Fractions (III, IV). 28 §7.5: Strategy for Integration. §7.8: Improper Integrals. FINAL EXAMS: 20 June -- 2 July