Recommended Prerequisites: MAT 117, 119, 170, or 171 with C or better
Course description
Topics covered in this course include: Limits and Derivatives of Algebraic, Logarithmic and Exponential Functions; the Definite Integral, Analysis of Graphs, Optimization, Applications of the Derivative, and more.
Content in this course will be adaptive, allowing you to achieve mastery in a certain concept before moving on to the next. Utilizing Gradarius, a Calculus learning platform, students in this personalized course will be instructed on the topics they are ready to learn while also providing individualized coaching as they move through each topic.
This 3-credit-hour course satisfies the Mathematical Studies (MA) general studies requirement at Arizona State University.
At the completion of this course, students will be able to:
1. Use graphical and numerical methods to find limits and identify cases where
limits fail to exist.
2. Find limits using algebraic methods including rules.
3. Determine whether a function is continuous graphically or algebraically.
4. Explain and find the average rate of change as a difference quotient and the slope
of a secant line.
5. Describe a derivative as an instantaneous rate of change that is the limit of
average rate of change and find it graphically, numerically and algebraically.
6. Apply Sum, Difference, Constant Multiple, Product, Quotient and Chain Rules
to find derivatives of algebraic, logarithmic and exponential functions.
7. Use implicit differentiation to find derivatives.
8. Use derivatives to marginal analysis.
9. Find critical points and points of inflection and use them to locate maxima
and minima.
10. Use differential calculus to solve optimization problems and related rates
problems.
11. Determine price elasticity of demand and use it to maximize revenue.
12. Find antiderivatives of sums and differences of constant multiples of power
functions, exponential and logarithmic functions.
13. Write the Riemann Sum definition of the definite integral and calculate the
Riemann Sum for the definite integral.
14. Apply the Fundamental Theorem of Calculus to evaluate the definite integrals.
15. Use substitution and integration by parts to evaluate integrals.
16. Use a definite integral to find the area between two curves and to solve
application problems in business and economics.
17. Find averages and moving averages using definite integrals.
18. Evaluate improper integrals using the definitions.
School Country
United States
School state
Arizona
School city
Tempe
High school
ASU Prep-Poly
ASU Prep. Acad-Casa Grande
ASU Preparatory Academy
ASU Preparatory Academy/Phoenix
ASU Universal Learner Course