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• Week 1: Real Numbers and the Real Line, Coordinates, Lines, and Increments, Functions, Shifting Graphs, Trigonometric Functions
• Week 2: Limits, Continuity, Tangent Lines.
• Week 3: The Derivative of a Function, Differentiation Rules, Derivatives of Trigonometric Functions
• Week 4: The Chain Rule, Implicit Differentiation and Rational Exponents
• Week 5: Applications of Derivatives: Extreme Values of Functions, The First Derivative Test for Local Extreme Values
• Week 6: The Mean Value Theorem, Graphing with y‘ and y‘‘
• Week 7: Integration: Indefinite Integrals, Integration by Substitution
• Week 8: Estimating with Finite Sums, Riemann Sums
• Week 8: Definite Integrals, Substitution in Definite Integrals,
• Week 9: Mid Term Exam
• Week 10: Numerical Integration
• Week 11: Applications of Integrals: Areas between Curves, Finding Volumes
• Week 12: Lengths of Plan Curves, Areas of Surfaces of Revolution
• Week 13: Transcendental Functions: Inverse Functions and Their Derivatives
• Week 14: Natural Logarithms, The Exponential Function, a^x and log_a (x),
• Week 15: Inverse Trigonometric Functions, Derivatives of Inverse Trigonometric Functions; Integrals. Hyperbolic Functions.
• Week 16: Conic Sections, Parameterized Curves, and Polar Coordinates
• Week 17: Vectors and Analytic Geometry in Space
• Week 18: Final Term Exam