Last update: 12/04 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 Week 01: Tu: 09/09(1): First meeting, introduction of the course. Tr: 09/11 : Holiday, no class. Week 02: (no recitation this week) Tu: 09/16(1hr): Tr: 09/18(2hr): 2.5: Formal definition of limits. 2.2: Limits involving infinity. 2.3: Sandwich Theorem. 2.4: Continuous functions. 2.4: Intermediate value Theorem and application to root finding. Week 03: Tu: 09/23(1hr): Recitation Tu: 09/23(1hr): Tr: 09/25(2hr): 3.1: Slopes and Derivatives. 3.2: Differentiation Rules. 3.4: Derivative of trigonometric functions. 3.5: The Chain Rules. Week 04: Tu: 09/30(1hr): Recitation Tu: 09/30(1hr): Tr: 10/02(2hr): 30 minute quiz ------- (2.2-2.5, 3.1, 3.2) 3.6: Implicit Differentiation. 3.7: Linearization and differentials. Week 05: Tu: 10/07(1hr): Recitation Tu: 10/07(1hr): Tr: 10/09(2hr): 3.8: Newton's method. 4.2: Extreme values and critical points. 4.3: Graphing. Week 06: Tu: 10/14(1hr): Recitation Tu: 10/14(1hr): 45 min quiz ----------------- (3.4-3.8) Tr: 10/16(2hr): 4.4: Graphing of rational functions. 4.5: Optimization. Week 07: Tu: 10/21(1hr): Recitation Tu: 10/21(1hr): Tr: 10/23(2hr): 6.1: Exponential function and its derivative. 6.2: Inverse functions and their derivatives. 6.3: Logarithmic function and its derivative. 6.6: L'Hopital's rule. Week 08: Tu: 10/28(1hr): Recitation Tu: 10/28(1hr): quiz -----------------(4.2-4.5, 6.1-6.2) Tr: 10/30(2hr): 6.7: Big O and small o. 6.8, 6.9: Inverse trigonometric functions and their derivatives. 6.10: Hyperbolic Functions. Week 09: Tu: 11/04(1hr): Recitation Tu: 11/04(1hr): Preview for Midterm Tr: 11/06(2hr): Midterm Exam ----------(Chap 2,3,4,6) Week 10: Tu: 11/11(1hr): Review for Midterm. Tu: 11/11(1hr): Tr: 11/13(2hr): 5.1: Estimating with finite sums. 5.2: Riemann sums and definite integrals. 4.6: Mean Value Theorem. 5.3: Mean value theorem for integrals. Week 11: Tu: 11/18(1hr): Recitation Tu: 11/18(1hr): Tr: 11/20(2hr): 5.4: Fundamental Theorem of Calculus. 5.5: Indefinite integrals. 5.6: Integration by substitution. 6.4: Integration of logarithmic function. Week 12: Tu: 11/25(1hr): Recitation Tu: 11/25(1hr): Tr: 11/27(2hr): 6.9: Integration of derivatives of trigonometric functions. 6.10: Integration involving hyperbolic functions. 7.1: Areas between curves. Week 13: Tu: 12/02(1hr): Recitation Tu: 12/02(1hr): quiz ------------------------- (4.6, 5.1-5.6,6.4) Tr: 12/04(2hr): 7.2, 7.3: Volumes of solids of revolution -- disks and cylindrical shells. 7.4: Curve length and surface area. Week 14: Tu: 12/09(1hr): Recitation Tu: 12/09(1hr): ------- (2 hr) Tr: 12/11(2hr): --------(no class) 8.1: Basic integration formulas. 8.2: Integration by parts. Week 15: Tu: 12/16(1hr): Recitation Tu: 12/16(1hr): quiz ------------------------- (7.1-7.4, 8.1) Tr: 12/18(2hr): 8.3: Partial fractions. 8.4: Trigonometric substitutions. Week 16: Tu: 12/23(1hr): Recitation Tu: 12/23(1hr): Tr: 12/25(2hr): 8.5: Integral tables. 8.6: Improper integrals. Week 17: Tu: 12/30(1hr): Recitation Tu: 12/30(1hr): (Last class, Preview for Final) Week 18: Tr: 01/09: Final Exam (Chap 4.6, 5, 6.4, 6.9, 7, 8)