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Course Description

Schoolcraft is excited to offer traditional credit face-to-face, hybrid, online, and remote classes. We are committed to providing students a safe experience based on recent COVID-19 concerns.

Please see the COVID-19 web page to learn more. Keep checking the schedule for additions on our New, Added, and Late Starting Courses web page.

Mathematics - MATH 151

Calculus with Analytic Geometry 2

5 Credit Hours
5 Lecture Hours

Course Description

This course includes the study of derivatives and integrals of transcendental functions, techniques of integration, indeterminate forms, improper integrals, infinite series, conics, polar coordinates and applications.

Prerequisites

(A requirement that must be completed before taking this course.)

Recommended

Course Competencies

Upon successful completion of the course, the student should be able to:

  • Apply the definite integral in computing areas and surface areas.
  • Apply the definite integral in computing volumes.
  • Determine the derivative of hyperbolic and inverse hyperbolic functions.
  • Evaluate the integral of a rational function using long division and/or partial fraction decomposition.
  • Evaluate integrals using various techniques such as: parts, rationalizing substitutions, trigonometric substitution, completing the square.
  • Evaluate improper integrals.
  • Identify convergence or divergence of various sequences.
  • Identify convergence or divergence of an infinite series using an appropriate test.
  • Investigate the limit of a geometric, telescoping, alternating or p-series.
  • Determine the interval of convergence for a power series.
  • Determine a power series representation of various functions.
  • Approximate certain non-polynomial function values and definite integrals using power series.
  • Compute the arc length of a parametric or polar curve.
  • Compute the slope of a tangent line to a parametric or polar curve.
  • Compute the area of a region enclosed by polar curves.
  • Analyze conic sections.

Course Schedule

 CourseSectionCourse TitleLocationCredit HoursInstructorsSeats Available ⁄Capacity ⁄WaitlistStatusFeeDays-Time-Room

Fall; 2021; MATHEMATICS; No of Weeks : 15; Begins : 08/30/2021

 151147806Calc Analy Geom 2HYBMC5McCoy M6/24/0Open$12.00T R  11:00 AM-12:07 PM BTC170
M W  11:00 AM-12:07 PM WEBWEB
 151147832Calc Analy Geom 2HYBMC5Wiedenfeld J6/24/0Open$12.00T R  01:30 PM-02:37 PM BTC200
M W  01:30 PM-02:37 PM WEBWEB

Winter; 2022; MATHEMATICS; No of Weeks : 15; Begins : 01/10/2022

 151113076Calc Analy Geom 2MC5Shields K9/24/0Open$12.00M W  06:00 PM-08:26 PM BTC165
 151113100Calc Analy Geom 2MC5McCoy M13/24/0Open$12.00M T W R  11:00 AM-12:07 PM BTC320
 151113102Calc Analy Geom 2MC5Staff24/24/0Open$12.00T R  12:30 PM-02:56 PM BTC160
 151113104Calc Analy Geom 2MC5Wiedenfeld J15/24/0Open$12.00M W  09:30 AM-11:56 AM BTC100

Key: Day of the Week

  • T = Tuesday
  • R = Thursday
  • S = Saturday
  • X = Sunday