Last update: Oct 20, 2015 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: 5-6 quizzes (pick n-1 best from n) 40%, midterm 1,2 and final exam, about 20% each. Week 01: (No recitation this week) Tu: 09/15: Tr: 09/17: 2.2: Limit of a Function and Limit Laws 2.3: The Precise Definition of a Limit Week 02: Tu: 09/22: We: 09/23: Recitation (on homework 01) Tr: 09/24: 2.4: One-Sided Limits 2.5: Continuity 2.6: Limits Involving Infinity; Asymptotes of Graphs Week 03: Tu: 09/29: (class cancelled due to typhoon) We: 09/30: Recitation (on homework 02) Tr: 10/01: 3.1: Tangents and the Derivative at a Point 3.2: The Derivative as a Function 3.3: Differentiation Rules Week 04: Tu: 10/06: quiz 1 --------------------(on homework 01 - homework 02) We: 10/07: Recitation (on homework 03) Tr: 10/08: 3.5: Derivatives of Trigonometric Functions 3.6: The Chain Rule. 3.7: Implicit Differentiation Week 05: Tu: 10/13: We: 10/14: Recitation (on homework 04) Tr: 10/15: 3.8: Derivatives of Inverse Functions and Logarithms 3.9: Inverse Trigonometric Functions Week 06: Tu: 10/20: quiz 2 --------------------(on homework 03 - homework 04) We: 10/21: Recitation (on homework 05) Tr: 10/22: extra recitation session 3.11: Linearization and differentials Week 07: Tu: 10/27: Midterm Exam 1 --------------------(on week 01 - week 05) We: 10/28: Tr: 10/29: 4.1: Extreme Values of Functions 4.2: The Mean Value Theorem 4.3: Monotonic Functions and the First Derivative Test Week 08: Tu: 11/03: We: 11/04: Recitation (on homework 07). Tr: 11/05: 4.4: Concavity and Curve Sketching 4.5: Indeterminate Forms and L’Hôpital’s Rule 4.6: Applied Optimization Week 09: Tu: 11/10: We: 11/11: Recitation (on homework 08) Tr: 11/12: quiz 3 --------------------(on homework 07 - homework 08) 4.7: Newton's Method 4.8: Antiderivatives 5.2: Sigma Notation and Limits of Finite Sums 5.3: The Definite Integral Week 10: Tu: 11/17: We: 11/18: Recitation (on homework 09) Tr: 11/19: 5.4: The Fundamental Theorem of Calculus 5.5: Indefinite Integrals and the Substitution Method Week 11: Tu: 11/24: We: 11/25: Recitation (on homework 10) Tr: 11/26: quiz 4 --------------------(on homework 09 - homework 10) 5.6: Substitution and Area Between Curves 6.1: Volumes Using Cross-Sections Week 12: Tu: 12/01: We: 12/02: Recitation (on homework 11) Tr: 12/03: Midterm Exam 2 -----------------------(week 06 - week 11) 6.2: Volumes Using Cylindrical Shells Week 13: Tu: 12/08: We: 12/09: Recitation (on homework 12) Tr: 12/10: 6.3: Arc Length 6.4: Areas of Surfaces of Revolution 7.2: Exponential Change and Separable Differential Equations 9.2: First-Order Linear Equations Week 14: Tu: 12/15: We: 12/16: Recitation (on homework 13) Tr: 12/17: 7.3: Hyperbolic Functions 7.4: Relative Rates of Growth 8.1: Integration by Parts Week 15: Tu: 12/22: quiz 5 --------------------(on homework 12 - homework 14) We: 12/23: Recitation (on homework 14) Tr: 12/24: 8.2: Trigonometric Integrals 8.3: Trigonometric Substitutions Week 16: no recitation this week Tu: 12/29: We: 12/30: Recitation cancelled. Tr: 12/31: 8.4: Integration of Rational Functions by Partial Fractions 8.7: Improper Integrals Week 17: Tu: 01/05: Recitation (on homework 15) Tr: 01/07: Week 18: Tu: 01/12 or Tr 01/14: Final Exam ------------------(on week 12 - week 17) ---------------(on week 12 - week 17)