Course: MA702 Calculus 1 TC

Grade: 10, 11, 12

Subject Area: Mathematics

Type: Accelerated, Potential College Credit

Credits: 1

Course Information:

Introduction to differential and integral calculus and plane analytic geometry; Limits, derivatives, and graphs of algebraic, trigonometric, exponential, and logarithmic functions; antiderivatives, the definite integral, and the fundamental theorem of calculus, with applications.

Outcomes:

• Calculate limits graphically, algebraically, and numerically

• Find horizontal and vertical asymptotes

• Analyze continuity of a function

• Analyze instantaneous and average rate of change

• Understand the link between derivatives and instantaneous rate of change

• Use the appropriate method to calculate a derivative

• Use derivatives to calculate real-world rates of change and apply these derivatives appropriately

• Use derivatives to analyze a function

• Estimate the area under the curve with finite sums

• Understand the connection between antiderivatives and integrals

• Use the appropriate method to calculate an antiderivative

• Use antiderivatives to calculate volume and other applications

Prerequisites:

Minimum grade of C- in both MA416-S1 - Pre-Calculus TC S1 and MA416-S2 - Pre-Calculus TC S2

Corequisites:

If you take this course, you must also take MA702-S2 – Calculus 1 TC S2