Last update: 10/04 Contents: Chap 2: Limits and continuity: 2.2-2.5. Chap 3: Derivatives: 3.1-3.2, 3.4-3.8 Chap 4: Application of derivatives. (4.2-4.6) Chap 6: Transcendental Functions: (6.1-6.4, 6.6-6.10) Chap 5: Integration: 5.1-5.6 Chap 7: Application of Integration: 7.1-7.4 Chap 8: Techniques of Integration: 8.1-8.6 Chap 9: Infinite Series: 9.1-9.8 (If time permits) Week 01: Tu: 09/13: Tr: 09/15: 2.2: Limits involving infinity. 2.3: Sandwich Theorem. 2.4: Continuous functions. 2.4: Intermediate value Theorem and application to root finding. Week 02: Tu: 09/20: Tu: 09/20: Recitation Tr: 09/22: 2.5: Formal definition of limits. 3.1: Slopes and Derivatives. 3.2: Differentiation Rules. Week 03: Tu: 09/27: Tu: 09/27: Recitation Tr: 09/29: 3.4: Derivative of trigonometric functions. 3.5: The Chain Rules. Week 04: Tu: 10/04: Tr: 10/04: Recitation Tr: 10/06: quiz 01 ------------------------------------ (on hw01, hw02) 3.6: Implicit Differentiation. 3.7: Linearization and differentials. Extra on 3.7: Error estimate for linear approximations. Week 05: Tu: 10/11: Tu: 10/11: Recitation Tr: 10/13: 3.8: Newton's method. 4.2: Extreme values and critical points. 4.3: Graphing. Week 06: Tu: 10/18: Tu: 10/18: Recitation, quiz 02 ------------------------ (on hw03, hw04) Tu: 10/20: 4.4: Graphing of rational functions. 4.5: Optimization. 4.6: Mean Value Theorem. Week 07: Tu: 10/25: Tu: 10/25: Recitation Tr: 10/27: 6.1: Exponential function and its derivative. 6.2: Inverse functions and their derivatives. 6.3: Logarithmic function and its derivative. Week 08: Tu: 11/01: Tu: 11/01: Recitation quiz 03 ------------------------ (on hw05, hw06) Tr: 11/03: 6.6: L'Hopital's rule. 6.7: Big O and small o. Week 09: Tu: 11/08: Tu: 11/08: Recitation Tr: 11/10: 6.8, 6.9: Inverse trigonometric functions and their derivatives. 6.10: Hyperbolic Functions. Week 10: Tu: 11/15: Tu: 11/15: Recitation Tr: 11/17: Midterm Exam -------------------------------- (Chap 2,3,4,6) 5.1: Estimating with finite sums. 5.2: Riemann sums and definite integrals. Week 11: Tu: 11/22: (2 hrs) Tu: 11/22: (1 hr) Tr: 11/24: Recitation 5.3: Mean value theorem for integrals. 5.4: Fundamental Theorem of Calculus. Week 12: Tu: 11/29: Tu: 11/29: Recitation Tr: 12/01: 5.5: Indefinite integrals. 5.6: Integration by substitution. 6.4: Integration of logarithmic function. 6.9: Integration of derivatives of trigonometric functions. Week 13: Tu: 12/06: Tu: 12/06: Recitation, quiz ------------------------- (on hw11) Tr: 12/08: 6.10: Integration involving hyperbolic functions. 7.1: Areas between curves. 7.2, 7.3: Volumes of solids of revolution -- disks and cylindrical shells. Week 14: Tu: 12/13: Tu: 12/13: Recitation Tr: 12/15: 7.4: Curve length and surface area. 8.1: Basic integration formulas. 8.2: Integration by parts. Week 15: Tu: 12/20: Tu: 12/20: Recitation, quiz ------------------------- (on hw12, hw13) Tr: 12/22: 8.3: Partial fractions. 8.4: Trigonometric substitutions. Week 16: Tu: 12/27: Tu: 12/27: Recitation Tr: 12/29: 8.5: Integral tables. 8.6: Improper integrals. Week 17: Tu: 01/03: Tu: 01/03: Recitation Tu: 01/05: (Last class, Preview for Final) Week 18: Tr: 01/10: Final Exam (Chap 5, 6.4, 6.9, 7, 8)