Class Materials

Vector Calculus

Homework

HW 1: 3-D space (solutions)
HW 2: Dot products and cross products(solutions)
HW 3: Cross products and parameterisations (solutions)
HW 4: Lines and planes (solutions)
HW 5: Vector functions (solutions)
HW 6: Limits in 3-space and partial derivatives (solutions)
HW 7: Tangent planes and local extrema (solutions)
HW 8: Double integrals (solutions)
HW 9: Triple integrals (solutions)
HW 10: Cylindrical and spherical coordinates (solutions)
HW 11: Line integrals and Greene's theorem (solutions)

Quizzes

Quiz 0: How good is your calculus foundation?
Quiz 1: 3-space, dot products, and cross products
Quiz 2: Planes and lines
Quiz 3: Vector functions
Quiz 4: Limits and partial derivatives
Quiz 5: Double integrals
Quiz 6: Triple integrals

Tests

Test 1: Three-dimensional space
Test 2: Vector functions, multivariable functions, and partial derivatives
Test 3: Integrals in three-space
Cumulative final exam

Finite Mathematics

Quizzes

Quiz 1: Gauss-Jordan elimination
Quiz 2: Modeling and matrix arithmetic
Quiz 3: Matrix multiplication and inversion
Quiz 4: Optimisation and sets
Quiz 5: Counting and probability
Quiz 6: Probability continued
Quiz 7: Markov systems

Tests

Test 1: Matrices
Test 2: Optimisation, sets, and counting
Test 3: Probability
Cumulative final exam

College Algebra:

Homeworks

HW 1: Intervals, absolute value, simplification (solutions)
HW 2: Factoring, rational expressions (solutions)
HW 3: Solving equations and inequalities (solutions)
HW 4: Linear equations, functions (solutions)
HW 5: Power functions, reading graphs, mathematical models (solutions)
HW 6: Average rate of change, linear functions (solutions)
HW 7: Parallel and perpendicular lines, more linear functions, exponential functions (solutions)
HW 8: Exponential functions, compound interest (solutions)
HW 9: Logarithms (solutions)
HW 10: Exponential functions, composition, transformations of functions (solutions)

Quizzes

Quiz 1: Sets, simplification
Quiz 2: Factoring, rational expressions
Quiz 3: Solving equations and inequalities
Quiz 4: Functions
Quiz 5: Linear functions
Quiz 6: Linear and exponential functions
Quiz 7: Logarithms
Quiz 8: Function transformations

Tests

Test 1: Fundamentals
Test 2: Linear and exponential functions
Test 3: Logarithms and function transformations
Cumulative final exam

Differential Equations:

Quizzes

Quiz 1: Verifying solutions
Quiz 2: Certain first-order equations
Quiz 3: Modelling with differential equations
Quiz 4: Acceleration, velocity, and Euler's method
Quiz 5: Linear equations
Quiz 6: Particular solutions
Quiz 7: Laplace transforms
Quiz 8: Using Laplace transforms

Tests

Test 1: First-order differential equations
Test 2: Second-order differential equations
Test 3: Higher-order differential equations
Cumulative final exam