MATH-2414 Calculus II
Kris Clabes
Credit Spring 2023
Section(s)
MATH-2414-009 (57406)
LEC MW 12:00pm - 1:45pm RVS RVSG 9114
Readings
This is a First Day™ class. The cost of required course materials, including an online version of the textbook and software access, has been added to your tuition and fees bill.
Textbook: Calculus: Early Transcendentals, 3rd Edition by Briggs, Cochran, Gillette, & Schulz. Pearson Publishing (MyLab software) ISBN: 9780134763644
Course Subjects
COURSE RATIONALE
This course is the second course in the traditional calculus sequence for mathematics, science and engineering students. It is part of what could be a four-semester sequence in calculus courses. The approach allows the use of technology and the rule of four (topics are presented geometrically, numerically, algebraically, and verbally) to focus on conceptual understanding. At the same time, it retains the strength of the traditional calculus by exposing the students to the rigor of proofs and the full variety of traditional topics: integration, techniques of integration, applications of integration, infinite series and analytical geometry.
Student Learning Outcomes/Learning Objectives
Learning Outcomes (COURSE OBJECTIVES)
These can also be found at:
https://sites.google.com/a/austincc.edu/math-students/documents/objectives
Upon successful completion of this course, students will:
- Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications.
- Use substitution, integration by parts, trigonometric substitution, partial fractions, and tables of anti-derivatives to evaluate definite and indefinite integrals.
- Define an improper integral.
- Apply the concepts of limits, convergence, and divergence to evaluate some classes of improper integrals.
- Determine convergence or divergence of sequences and series.
- Use Taylor and MacLaurin series to represent functions.
- Use Taylor or MacLaurin series to integrate functions not integrable by conventional methods.
- Use the concept of polar coordinates to find areas, lengths of curves, and representations of conic sections.
The General Education Competency of:
- Critical Thinking: gathering, analyzing, synthesizing, evaluating and applying information is covered in every SLO.
- Quantitative and Empirical Reasoning: applying mathematical, logical, and scientific principles and methods is covered in every SLO.
- Technology Skills: using appropriate technology to retrieve, manage, analyze, and present information is covered in every SLO.
- Written, Oral and Visual Communication: communicating effectively adapting to purpose, structure, audience and medium is covered in every SLO.
Office Hours
T Th 9:30 AM - 10:30 AM Blackboard Collaborate
NOTEM W 10:00 AM - 11:30 AM RVSA 9125 and Collaborate
NOTEPublished: 01/23/2023 11:57:39