Briggs LO

MAC 2311Course Learning Outcomes and Unit Learning Outcomes

Here you can review Calculus' general and unit-specific learning outcomes. You will be able to meet these learning outcomes by completing (satisfactorily) the weekly tasks specified on the course schedule.

Course Learning Outcomes

	The student will be able to demonstrate an understanding of the limiting process as it applies to functions, continuity, derivatives and integrals.
	The student will be able to demonstrate an understanding of the concept of derivative including its geometric and physical interpretations.
	The student will be able calculate derivatives of functions using rules of differentiation.
	The student will be able to demonstrate an understanding of the concept of integral including its geometric and physical interpretations.
	The student will be able to calculate indefinite and definite integrals.
	The student will be able to solve applied problems using derivatives and integrals.

Unit Learning Outcomes

After the successful completion of the corresponding units throughout the course, the student will be able to:

Unit 1.1

	*Determine if a relation is a function using different representations. Identify and use function notation.*
	*Determine the domain and range of a function algebraically and from its graph.*
	*Work with combination and composition of function.*
	*Recognize and graph piecewise-defined functions.*
	*Recognize symmetry of Functions.*

Unit 1.2

	*Recognize Work and graph various families of functions (Standard Functions.*
	*Linear Functions, Power Function, Rational Functions..*

	*Use transformations to graph a function.*

Unit 1.3

	Recognize Trigonometric Functions
	Work with Trigonometric Identities
	*Evaluate the Trigonometric functions at the Special and Quadrantal angles.*
	*Plot graphs of Trigonometric Functions*

Unit 2.1

	*Understand the concept of a limit.*
	*Understand one sided limits.*
	*understand Infinite limits.*
	*Relate limits to vertical asymptotes.*

Unit 2.2

	*Find limits of polynomials, algebraic and rational functions.*
	*Use the Squeeze Theorem.*

Unit 2.3

	*Know the definition of continuity at a point, and work problems using it.*
	*Know the definition of continuity on an interval, and work problems using it.*

Unit 3.1

	*Relate slope of secant lines to average velocity and slope of tangent lines to instantaneous velocity.*
	*Know the difference between the average rate of change and the instantaneous rate of change.*

Unit 3.2

	*Work with the limit definition of the derivative.*
	*Familiarize with the different notations for derivatives.*
	*Work with higher order derivatives.*

Unit 3.3

	*Use the Sum Rule of differentiation.*
	*Use the Product Rule of differentiation.*
	*Use the Quotient Rule of differentiation.*
	*Use the Power Rule of differentiation.*

Unit 3.4

	*Memorize the derivatives of Trigonometric Functions.*
	*Use the Differentiation Formulas with Trigonometric Functions.*

Unit 3.6

Apply the chain rule when finding derivatives of composition of functions.

Unit 3.7

Find derivatives of implicit functions.

Unit 3.8

Understand the general procedures and work with Related Rates problems.

Exponential Functions

	*Work with Exponential functions.*
	*Find derivatives of exponential functions.*

Unit 4.1

Distinguish between local and absolute extrema in open and closed intervals.

Unit 4.2

	*Apply the First Derivative Test to find intervals of increasing and decreasing of a function.*
	*Apply the First Derivative and Second Derivative Tests to determine concavity of a function.*

Unit 4.3

Sketch graphs of functions using the concepts learned previously.

Unit 4.4

Apply the concepts of Maximum and minimum to optimization problems.

Unit 4.8

	*Understand the concept of an antiderivative.*
	*Find antiderivatives of functions.*

Unit 5.1

	*Understand the idea of area under a curve.*
	*Understand the idea of the total distance traveled.*

Unit 5.2

	*Understand the concept of a definite integral and its properties.*
	*Calculate definite integrals using Riemann sums.*

Unit 5.3

	*Understand the Fundamental Theorem of Calculus (FTC).*
	*Find derivatives of integral and integrals of derivatives using the FTC.*

Unit 5.4

	*Find indefinite integrals.*
	*Understand, using integrals, the difference between displacement and total distance traveled.*

Exponential Integration

Find definite and indefinite integral of Exponential Functions

Unit 5.5

Integrate using the substitution rule.

Unit 6.1

Understanding the concepts of velocity and Net Change

Unit 6.2

Find areas between curves

Unit 6.3

Find volumes of revolutions by using the Method of Disks/Washers.

Unit 6.4

Find volumes of revolutions by using the Method of Shells.