Course Notes for Math 191
Course Notes for Math 191
Textbooks
Basic Technical Mathematics with Calculus, 10th edition, by Washington and Boué
Section 23.1 Limits
Section 23.2 The Slope of a Tangent to a Curve
Section 23.3 The Derivative
Section 23.5 Derivatives of Polynomials
Section 23.4 The Derivative as an Instantaneous Rate of Change
Section 23.6 Derivatives of Products and Quotients
Section 23.7 The Derivative of a Power of a Function
Section 23.8 Differentiation of Implicit Function
Section 23.9 Higher Derivatives
Section 24.1 Tangents and Normals
Section 24.2 Newton's Method
Section 24.3 Curvilinear Motion
Section 24.4 Related Rates
Section 24.5 Using Derivatives in Curve Sketching
Section 24.7 Optimization
Section 24.8 Differentials and Linear Approximations
Handout: Linear approximations
Section 27.1 Derivative of Sine and Cosine
Section 27.2 Derivative of Other Trig Functions
Section 27.3 Derivative of Inverse Trig Functions
Handout: Inverse trig functions
Examples: Application problems
Section 27.5 Derivative of Logs
Section 27.6 Derivative of Exponentials
Section 27.8 Applications
Section 25.1 Antiderivatives
Section 25.2 The Indefinite Integral
Section 25.4 The Definite Integral
Handout: Fundamental Theorem of Calculus
Section 25.5 The Trapezoidal Rule
Section 25.6 Simpson's Rule
Section 26.1 Applications of Indefinite Integrals
Section 26.2 Areas by Integration
Section 26.1 Applications of Indefinite Integrals
Section 26.2 Areas by Integration
Handout: Area between curves
Section 26.3 Volumes by Integration
Section 26.4 Centroids
Section 26.6 Other Applications
Section 16.1 Matrices
Section 16.2 Multiplication of Matrices
Section 16.3 The Inverse of a Matrix
Section 16.4 Matrices and Linear Equations
Section 16.5 Gaussian and Gauss-Jordan Elimination