MATH 2554 - Calculus I

Description
The first course in a three-semester sequence designed to provide comprehensive coverage of differential and integral calculus. Topics include limits and continuity, differentiation with applications, integration with applications (including inverse trigonometric, exponential, logarithmic, and hyperbolic functions) and basic differential equations.

Pre-Requisite
MATH 1203 and MATH 1213 OR MATH 1285 with grades of C or better, or appropriate placement scores.

4 Credit Hour(s)

Contact Hours
60 lecture hours

4 Faculty Load Hour(s)

Semesters Offered
Fall, Spring, On Demand

ACTS Equivalent
MATH2405 (ACTS) - Calculus I

Grade Mode
A-F

Learning Outcomes
Upon successful completion of MATH 2554 students will exhibit mastery of certain knowledge and basic skills. These skills include, but are not limited to:

Analyze and evaluate limits (including infinite limits) graphically, numerically, and analytically.
Analyze functions for continuity.
Evaluate limits using L’Hopital’s rules.
Evaluate derivatives by the limit process.
Memorize basic differentiation rules.
Evaluate derivatives for algebraic, trigonometric, inverse trigonometric, exponential and logarithmic functions and combinations thereof using basic differentiation rule including the product, quotient and chain rules.
Compute derivatives using implicit differentiation.
Evaluate derivatives using logarithmic differentiation.
Apply differentiation rules to evaluate rate of change and find equations of tangent lines
Solve related rate problems using differentiation.
Use differentiation techniques to evaluate absolute extrema.
Apply differentiation techniques to find intervals of increasing, decreasing and concavity, relative extrema and points of inflection.
Demonstrate knowledge of curve sketching.
Apply differentiation techniques to solve optimization problems.
Memorize basic integration rules.
Evaluate integrals and areas using the limit definition of definite integrals.
Evaluate definite integrals using the Fundamental Theorem of Calculus.
Evaluate definite and indefinite integrals using substitution.

General Education Outcomes Supported

Students develop higher order thinking skills.
Students achieve mathematical literacy

Standard Practices
Topics list

Limits
Continuity
Derivatives
Applications of Derivatives including related rates, graphing, and optimization
Integration

Learning activities

Courses must, at a minimum, cover the core learning outcomes for each topic. Faculty may add to these outcomes, but may not omit any of them.
The content of the course may be taught with or without the use of a graphing calculator as deemed appropriate by the instructor.

Assessments

There will be a common departmental portion on the required comprehensive final exam.
These questions will be in direct support of the Learning Outcomes.
Instructors will report the results of the individual departmental questions when grades are submitted.

Grading Guidelines

At least 70% of the student’s final grade should come from proctored work.