MATH141 Calculus II
Department of Science, Technology, Engineering & Mathematics: Mathematics
- I. Course Number and Title
- MATH141 Calculus II
- II. Number of Credits
- 4 credits
- III. Number of Instructional Minutes
- IV. Prerequisites
- MATH140 (C or better)
- V. Other Pertinent Information
- At least four one-hour tests, quizzes, and a two-hour comprehensive departmental final examination are given.
- VI. Catalog Course Description
- This course is a continuation of Math 140. Topics include differentiation and integration of transcendental functions, indeterminate forms, methods of integration, improper integrals, infinite series, parametric equations, and polar coordinates.
- VII. Required Course Content and Direction
Course Learning Goals
- differentiate and integrate transcendental functions, including logarithms, exponential, trigonometry and inverse trigonometric, hyperbolic and inverse hyperbolic functions;
- apply methods of integration, such as algebraic substitution, trigonometric substitution, partial fractions, integration by parts, and use a table of integrals;
- solve limit problems involving indeterminate forms with La'Hopital's Rule;
- evaluate improper integrals;
- determine convergence or divergence of positive term series using the ratio test, comparison test, limit comparison test or integral test; determine the convergence, absolute convergence, conditional convergence or divergence of alternating series; determine the interval of convergence of power series; and express a function as a series using Maclaurin or Taylor series; and
- convert parametric representation of curves to rectangular coordinates, represent a curve using polar coordinates, and integrate functions expressed in polar coordinates.
Planned Sequence of Topics and/or Learning Activities
- Differentiation and Integration of Transcendental Functions
- Logarithmic Functions
- Exponential Functions
- Trigonometric Functions
- Inverse Trigonometric Functions
- Hyperbolic Functions
- Methods of Integration
- Integration by Parts
- Trigonometric Integrals
- Trigonometric Substitution
- Partial Fractions
- Integral Tables
- Trapezoidal Rule
- Improper Integrals
- Infinite Series
- Integral Test and p-series
- Comparison Tests
- Ratio Test
- Root Test
- Power Series
- Taylor and Maclaurin Series
- Vectors and Parametric Equations
- Plane Curves
- Parametric Equations
- Polar Coordinates
- Arc Length and Area
Assessment Methods for Course Learning Goals
The student applies mathematical concepts and principles to identify and solve problems presented through informal assessment, such as oral communication among students and between teacher and students. Formal assessment consists of open-ended questions reflecting theoretical and applied situations.
A minimum of 70% of a student's grade must be determined from proctored assessments and work. These proctored assessments include tests, quizzes, departmental final exam, or other proctored in-class assignments.
The final exam must be at least 20% of the course grade. Study guides, formula sheets, and other aids may not be used on the final exam.
Reference, Resource, or Learning Materials to be used by Student:A TI-30X IIS scientific calculator (not the MultiView series) and a departmentally-selected textbook are used. Details are provided by the instructor of each course section. See course syllabus.
Review/Approval Date - 3/99; Revised 4/06; Revised 09/2013; New Core 8/2015; Updated 11/2019