Lecture 1 - Sections 1.1, 1.2, 1.3 Basic topics and elementary facts about functions Lecture 2 - Sections 1.4, 1.5 Trigonometric and inverse functions Lecture 3 - Sections 1.6, 1.7, 2.1 Exponential and logarithmic functions, graphing calculators, introduction to limits Lecture 4 - Sections 2.2, 2.3, 2.4 Limits and continuity Lecture 5 - Sections 2.5, 2.6, 2.7 Evaluating limits algebraically, trigonometric limits, limits at infinity Lecture 6 - Sections 2.8, 2.9 Intermediate value theorem, formal definition of limit Lecture 7 - Sections 3.1, 3.2, 3.3 Definition of derivative, product and quotient rules Lecture 8 - Sections 3.4, 3.5, 3.6 Rates of change, higher derivatives and derivatives of trigonometric functions Lecture 9 - Section 3.7 The chain rule Lecture 10 - EXAM 1 Exam to be given in the lecture room during the lecture period Lecture 11 - Section 3.8 Implicit differentiation Lecture 12 - Section 3.9 Derivatives of general exponential and logarithmic functions Lecture 13 - Section 3.10 Related rates Lecture 14 - Sections 4.1, 4.8 Linear approximations and Newton's method Lecture 15 - Section 4.2 Extreme values Lecture 16 - Sections 4.3, 4.4 The mean value theorem, monotonicity and the shape of a graph Lecture 17 - Section 4.5 L'Hopital's rule Lecture 18  - Section 4.6 Graph sketching and asymptotes Lecture 19 - Section 4.7 Applied optimization Lecture 20 - Section 5.1 Approximating and computing area Lecture 21 - EXAM 2 Exam to be given in the lecture room during the lecture period Lecture 22 - Section 5.2 The definite integral Lecture 23 - Section 5.3 The indefinite integral Lecture 24 - Sections 5.4, 5.5 The fundamental theorem of calculus Lecture 25 - Sections 5.6, 5.7 Net change and substitution Lecture 26 - Section 5.8 Further integral formulas Lecture 27 - Section 6.1 Area between two curves Lecture 28 - CATCH UP Catch up and review