1.1 Four ways to represent a function (Symmetry, Increasing  Decreasing) 1.2 Mathematical Models (polynomials, asymptotes, intercepts, power, log, transcendental)
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1.1 Four ways to represent a function 1.2 Mathematical Models 1.3 New Functions from Old (graph shifts, composite functions)
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1.2 Mathematical Models (Inverse) Appendix B Coordinate Geometry (Lines, Circles)
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1.5 Exponential Functions cont. (e, hyperbolic) 1.6 Inverse Functions and Logs
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2.2 The limit of a function (cont) 2.3 Calculating the limits using the limit laws
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2.3 Calculating the limits using the limit laws cont. (Squeeze Theorem) 2.4 Continuity
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2.4 Continuity cont. (Intermediate Value Theorem) 2.5 Limits Involving Infinity
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2.5 Limits Involving Infinity (cont.) 2.6 Tangents, Velocities and Other Rates of Change
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2.6 Tangents, Velocities and Other Rates of Change cont (Estimates) Instantaneous Rate of Change 2.7 Derivatives (Definition of derivative)
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2.7 Derivatives cont (Higher Order Derivatives) Review for Test #1
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2.8 Derivative as a Function
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2.8 Derivative as a Function cont 2.9 What does f' say about f
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2.9 What does f' say about f cont 3.1 Derivatives of Polynomials and Exponential Functions
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3.2 Product and Quotient Rules
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3.4 Derivatives of Trigonometric Functions
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3.4 Derivatives of Trigonometric Functions cont (Examples) 3.5 Chain Rule
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3.5 Chain Rule cont (Examples) 3.6 Implicit Differentiation
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3.5 Chain Rule cont (Examples, Parametric Equations)
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3.6 Implicit Differentiation cont (Examples, Derivative of Inverse Trigonometric Functions)
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3.6 Implicit Differentiation cont (Orthogonal Trajectories)
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3.7 Derivatives of Logarithmic Functions
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3.8 Linear Approximation and Derivatives
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4.1 Related Rates (Example) 4.2 Maximum and Minimum Values
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4.1 Related Rates (Examples)
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4.1 Related Rates (Method , Examples)
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4.2 Maximum and Minimum Values cont 4.3 Derivative and the Shapes of Curves (f', Mean Value Theorem)
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4.2 Maximum and Minimum Values cont 4.3 Derivative and the Shapes of Curves (Mean Value Theorem)
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4.3 Derivative and the Shapes of Curves cont
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4.3 Derivative and the Shapes of Curves cont (examples) 4.5 Intermediate Forms and L'Hopitals Rule (0/0, Infinity/Infinity)
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4.5 Intermediate Forms and L'Hopitals Rule cont (0/0, Infinity/Infinity, other forms) Intro to Optimization Problems
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4.6 Optimization Problems (Example) 4.8 Newton's Method
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4.6 Optimization Problems (Examples)
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4.6 Optimization Problems (Examples)
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4.6 Optimization Problems (Method, Examples)
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4.8 Newton's Method cont
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4.9 Antiderivatives
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4.9 Antiderivatives (Problems) Appendix F Sigma Notation
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5.2 Definite Integral
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5.2 Definite Integral (Reimann Sum)
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5.3 Evaluating Definite Integrals
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5.5 The substitution Rule
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5.5 The substitution Rule
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5.6 Integration by Parts
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5.6 Integration by Parts cont. 5.7 and Appendix G Partial Fractions Case #1 Linear Factors in Denominator (none are repeated) Case #2 Linear Factors in Denominator (some are repeated  squared, cubed, etc.)
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5.7 and Appendix G Partial Fractions cont. Case #2 Liner Factors in Denominator (some are repeated  squared, cubed, etc.) Case #3 and 4 Irreducible Quadratic Factor in Denominator 5.7 Partial Fractions when Numerator is greater than Denominator
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5.7 Trigonometric Integrals Cos and Sin with One or more as Odd Powers Cos and Sin with all Even Powers Intro to Sec and Tan
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5.7 Trigonometric Integrals Sec and Tan Review for Test 4
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5.7 Trigonometric Substitution
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5.8 Table of Integrals
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5.8 Table of Integrals cont.
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Appendix B Coordinate Geometry (Conic Sections) cont. 1.5 Exponential Functions
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Appendix F Sigma Notation (Problem) 5.1 Areas and Distance
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Course Introduction 1.1 Four ways to represent a function 1.2 Mathematical Models 1.3 New Functions from Old (graph shifts, composite functions)
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Final Exam Review
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Question on Inverse Problem 1.7 Parametric Curves (plotting, eliminating t, cycloid) 2.1 Tangent and Velocity problems (Secant and Tangent slopes)
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Question on Inverse Problem 1.7 Parametric Curves (plotting, eliminating t, cycloid) 2.1 Tangent and Velocity problems (Secant and Tangent slopes)
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Questions Covering 1.1 through 1.5 Appendix B Coordinate Geometry (Conic Sections)
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Review for Test #2
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Review for Test #3
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Review of several questions that were on Test 1 (Fall 2008) 3.1 Derivatives of Polynomials and Exponential Functions cont
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Review of several questions that were on Test 3 (Fall 2008) 5.3 Evaluating Definite Integrals 5.4 Fundamental Theorem of Calculus
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Review of several questions that were on Test 4 (Fall 2008)
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