Math 125 Calculus II
(4-0) 4 credits. Prerequisite: MATH 120 completed with a minimum grade of “C” or appropriate score on departmental Trigonometry Placement Examination and MATH 123 completed with a minimum grade of “C.” A continuation of the study of calculus, including the study of sequences, series, polar coordinates, parametric equations, techniques of integration, applications of integration, indeterminate forms, and improper integrals.
Couse Learning Outcomes
A student who successfully completes this course should be able to:
- Solve linear systems of equations and matrix equations.
- Evaluate integrals with advanced techniques, such as: substitution, Trigonometric substitution, integration by parts, and partial fractions.
- Produce the Taylor series expansions for functions, including many transcendental functions.
- Use a computer algebra system to implement the solution techniques that are covered in Calculus 2.
This course meets the BOR mandated GenEd Goal #5: Students will understand and apply fundamental mathematical processes and reasoning.
Student Learning Outcomes
As a result of taking courses meeting this goal, students will:
- Use mathematical symbols and mathematical structure to model and solve real world problems.
- Assessment- Students will identify, interpret, and correctly apply standard mathematics symbols to solve problems requiring differentiation and integration techniques. This will be demonstrated on quizzes, labs, homework, and/or exams.
- Demonstrate appropriate communication skills related to mathematical terms
- Assessment- Students will correctly use functional notation of algebra, trigonometry, and calculus. This will be demonstrated on quizzes, labs, homework, and/or exams.
- Demonstrate the correct use of quantifiable measurements of real world situations
- Assessment - Students will apply their knowledge of calculus in one-variable, infinite sequences and series, and parametric equations and polar equations in applications such as area computation, function approximation, and arc-length computation. This will be demonstrated on quizzes, labs, homework, and/or exams.