Last update: Sep 10, 2014 Textbook: Thomas, Weir and Hass: Thomas's Calculus Early Transcendental, 12th edition. Course contents: Chap 2: Limits and continuity: 2.2-2.6 Chap 3: Differentiation: 3.1-3.3, 3.5-3.9, 3.11 Chap 4: Application of derivatives: 4.1-4.8 Chap 5: Integration: 5.2-5.6 Chap 6: Application of Definite Integrals: 6.1-6.4 Chap 7: Integrals of Transcendental Functions: 7.2-7.4 Chap 8: Techniques of Integration: 8.1-8.4, 8.7 Chap 9: First-Order Differential Equations: 9.2 Grading: quiz (pick n-2 best from n) 40%, midterm 1,2 and final, about 20% each. Week 01: (No recitation this week) Tu: 09/16: Tr: 09/18: 2.2: Limit of a Function and Limit Laws 2.3: The Precise Definition of a Limit Week 02: Tu: 09/23: We: 09/24: Recitation (on homework 01) Tr: 09/25: 2.4: One-Sided Limits 2.5: Continuity 2.6: Limits Involving Infinity; Asymptotes of Graphs Week 03: Tu: 09/30: We: 10/01: Recitation (on homework 02) Tr: 10/02: quiz 1 --------------------(on homework 01 - homework 02) 3.1: Tangents and the Derivative at a Point 3.2: The Derivative as a Function 3.3: Differentiation Rules 3.5: Derivatives of Trigonometric Functions Week 04: Tu: 10/07: We: 10/08: Recitation (on homework 03) Tr: 10/09: 3.6: The Chain Rule. 3.7: Implicit Differentiation Week 05: Tu: 10/14: We: 10/15: Recitation (on homework 04) Tr: 10/16: quiz 2 --------------------(on homework 03 - homework 04) 3.8: Derivatives of Inverse Functions and Logarithms 3.9: Inverse Trigonometric Functions Week 06: Tu: 10/21: We: 10/22: Recitation (on homework 05) Tr: 10/23: Midterm Exam 1 --------------------(on week 01 - week 05) 3.11: Linearization and differentials 4.1: Extreme Values of Functions Week 07: Tu: 10/28: We: 10/29: Recitation (on homework 06) Tr: 10/30: 4.2: The Mean Value Theorem 4.3: Monotonic Functions and the First Derivative Test Week 08: Tu: 11/04: We: 11/05: Recitation (on homework 07). Tr: 11/06: quiz 3 --------------------(on homework 06 - homework 07) 4.4: Concavity and Curve Sketching 4.5: Indeterminate Forms and L’Hôpital’s Rule 4.6: Applied Optimization Week 09: Tu: 11/11: We: 11/12: Recitation (on homework 08) Tr: 11/13: 4.7: Newton's Method 4.8: Antiderivatives Week 10: Tu: 11/18: We: 11/19: Recitation (on homework 09) Tr: 11/20: quiz 4 --------------------(on homework 08 - homework 09) 5.2: Sigma Notation and Limits of Finite Sums 5.3: The Definite Integral 5.4: The Fundamental Theorem of Calculus Week 11: Tu: 11/25: We: 11/26: Recitation (on homework 10) Tr: 11/27: 5.5: Indefinite Integrals and the Substitution Method 5.6: Substitution and Area Between Curves Week 12: Tu: 12/02: We: 12/03: Recitation (on homework 11) Tr: 12/04: Midterm Exam 2 -----------------------(week 06 - week 11) 6.1: Volumes Using Cross-Sections 6.2: Volumes Using Cylindrical Shells 6.3: Arc Length 6.4: Areas of Surfaces of Revolution Week 13: Tu: 12/09: We: 12/10: Recitation (on homework 12) Tr: 12/11: 7.2 Exponential Change and Separable Differential Equations 7.3 Hyperbolic Functions Week 14: Tu: 12/16: We: 12/17: Recitation (on homework 13) Tr: 12/18: 7.4 Relative Rates of Growth 8.1: Integration by Parts 8.2: Trigonometric Integrals Week 15: Tu: 12/23: We: 12/24: Recitation (on homework 14) Tr: 12/25: quiz 5 --------------------(on homework 12 - homework 14) 8.3: Trigonometric Substitutions 8.4: Integration of Rational Functions by Partial Fractions Week 16: Tu: 12/30: We: 12/31: Recitation (on homework 15) Tr: 01/01: ----------------------------Holiday, no class. 8.7: Improper Integrals Week 17: Tu: 01/06: We: 01/07: Recitation (on homework 16) Tr: 01/08: possible quiz 6 --------------------(on homework 15 - homework 16) 9.2: First-Order Linear Equations Week 18: Tr: 01/15: Final Exam ------------------(on week 12 - week 17)