Science:Math Exam Resources/Courses/MATH103/Syllabus

The full course syllabus can be found here.

1. Area, Volume and Sigma Notation

Learn about geometric series

Learn about summations

2. Riemann Sums and Integration

Learn about Riemann sums

Learn about properties of integrals

3. Fundamental Theorem of Calculus

Learn about the Fundamental Theorem of Calculus

Learn about integration using symmetry

Learn about antiderivative sketching

Learn about calculating the area between two curves

4. Applications of Integrals

Learn about the Net Change Theorem

Learn about the average value

5. Applications of integrals to volume, mass and length

Learn about mass

Learn about the center of mass

Learn about solids of revolution

Learn about arc length

6. Integration techniques

Practice integrals uncategorized based on the techniques below

Learn about substitution

Learn about integration by parts

Learn about trigonometric integrals

Learn about trigonometric substitutions

Learn about partial fractions

Learn about integrals that cycle

Learn about the centroid

7. Improper Integrals

Learn about improper integrals

Learn about the integral comparison test

8. Continuous Probability Distributions

Learn about probability density functions

Learn about the standard deviation

Learn about the mean

Learn about the median

Learn about cumulative distribution functions

9. Differential Equations

Learn about differential equations

Learn about separation of variables

Learn about initial value problems

Learn about steady states

10. Sequences

Learn about sequences

Learn about steady states of sequences

Learn about cobwebbing

11. Series

Learn about series

Learn about power series

12. Taylor Series

Learn about power series

Learn about Taylor series