Skip to content
  • Bucks for Students
    Enroll + Register
    • Academics
    • Admissions Information
    • Register for Courses
    • Placement Testing
    • Academic Advising
    • Majors + Certificates
    • College Catalog
    • Bucks Online
    • Honors at Bucks
    • Academic Departments

    Apply Now

    Planning + Payment
    • Financial Aid
    • Scholarships
    • Work Study Employment
    • Payment Options
    • Your Account
    • Tuition + Fees
    Transfer + Graduate
    • Transfer Information
    • Planning Your Transfer
    • Transfer by Institution
    • Transfer by Major
    • Graduate
    • Plan a Career

    Labor Market Analysis

    Attend + Get Involved
    • Bucks+
    • Athletics
    • Clubs + Organizations
    • Bookstore
    • Student Life
    • Veterans
    • Fitness + Wellness
    • Student Government
    • Art + Entertainment
    • Alumni
    • Digital Badges
    • Internships
    • Job Resources

    • Accessibility Resources
    • Campus Services
    • Directory
    • Canvas
    • Bucks Email
    • Change Password
    • Pay Tuition
    • Student Planning
    • MyBucks
     
  • Bucks for Community

    Classes + Activities

    personal enrichment people
    Personal Enrichment
    • Art + Design
    • Culinary Classes
    • ESL
    • Business + Finance
    • Gaming
    • Health + Wellness
    • History + Special Interest
    • Foreign Language
    • Music
    • Test Prep
    • Browse All Courses
    kids on campus
    Live Online Camps
    • 2020 Camps at a Glance
    • Camps for Ages 5-6
    • Camps for Ages 7-9
    • Camps for Ages 10-13
    • Camps for Ages 14+
    • Camp Information
    • Camp Scholarships
    • Preschool Summer Program
    • Register for Camp

    Events

    Event Programs
    • Art + Entertainment
    • Book Discussions
    • Concerts
    • Foundation Events
    • Poetry + Prose
    • Movie Monday
    • Trips + Travel 
    • Event Tickets

    Buy Tickets

    Event Venues

    • Artmobile

    • Sculpture Walk

    • Zlock Performing Arts Center

    • The Gallery at Lower Bucks

    • Hicks Art Center Gallery

     
  • Bucks for Career
    briefcase
    Business + Career
    • Career Management 
    • Career Planning + Consultation
    • Customized ESL
    • Educators (ACT 48)
    • Browse by Industry
    • Online Learning
    • Professional Development
    • Test Preparation
    • Microsoft Office Technology & Customer Service
    • Bookkeeping with Quickbooks Certification
    • More
    Firefighter
    Fire + Public Safety
    • PSTC Course Schedule
    • Fire Training Weekends
    • Industrial Safety Training (OSHA)
    • Online HazMat Training
    • Other Training + Resources
    • Training Facilities
    • More
    nurse
    Healthcare
    • CPR + First Aid Training
    • Dental Assistant
    • EKG Technician Hybrid Program
    • Nurse Aide
    • Nursing Review & Reentry
    • Pharmacy Technician
    • Practical Nursing
    • More
    public safety figure
    Industrial + Manufacturing
    • Metalwork Pre-Apprentice Training Program
    • Industrial Maintenance Pre-Apprentice Program
    • Electrical Apprenticeship Program
    • Locomotive Engineer + Conductor
    • Workforce Development
    • More
    Man fixing server
    Information Technology
    • Certification Testing
    • Cyber Security
    • Database Development
    • Desktop Support (CompTIA)
    • Computer-Aided Design
    • Microsoft Office Software
    • Server Administration
    • Full Stack Web Developer
    • More
     
  • Library
  • Calendar + News
  • Diversity
  • Contact
Bucks County Community College

Academics

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
3000
IV. Prerequisites
MATH140 (C or better)
Corequisites
None
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
  1. Course Learning Goals

    Students will:

    1. differentiate and integrate transcendental functions, including logarithms, exponential, trigonometry and inverse trigonometric, hyperbolic and inverse hyperbolic functions;
    2. apply methods of integration, such as algebraic substitution, trigonometric substitution, partial fractions, integration by parts, and use a table of integrals;
    3. solve limit problems involving indeterminate forms with La'Hopital's Rule;
    4. evaluate improper integrals;
    5. 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
    6. convert parametric representation of curves to rectangular coordinates, represent a curve using polar coordinates, and integrate functions expressed in polar coordinates.
  2. Planned Sequence of Topics and/or Learning Activities

    1. Differentiation and Integration of Transcendental Functions
      1. Logarithmic Functions
      2. Exponential Functions
      3. Trigonometric Functions
      4. Inverse Trigonometric Functions
      5. Hyperbolic Functions
    2. Methods of Integration
      1. Integration by Parts
      2. Trigonometric Integrals
      3. Trigonometric Substitution
      4. Partial Fractions
      5. Integral Tables
      6. Trapezoidal Rule
      7. Improper Integrals
    3. Infinite Series
      1. Sequences
      2. Convergence
      3. Integral Test and p-series
      4. Comparison Tests
      5. Ratio Test
      6. Root Test
      7. Power Series
      8. Taylor and Maclaurin Series
    4. Vectors and Parametric Equations
      1. Plane Curves
      2. Parametric Equations
      3. Polar Coordinates
      4. Arc Length and Area
  3. 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.

  4. 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

Home 2017AcademicsCourses + ProgramsMaster Course Outlines

  • Academic Advising
  • Academic Departments
  • Academic Majors
  • Catalog
  • Course Descriptions
  • Master Course Outlines
Bucks County Community College | Smart

(215) 968-8000

275 Swamp Road
Newtown, PA 18940

Maps & Directions

  • Newtown Campus
  • Bristol
  • Perkasie
  • Online
  • Follow Us on Instagram
  • Like Us on Facebook
  • Follow Us on Twitter
  • Watch Us on YouTube

© Bucks County Community College.
All rights reserved.

Find Campus Services

  • Accessibility - TAO
  • Advising
  • AESL Program
  • Bookstore (External Website)
  • Career + Job Resources
  • Catalog
  • Counseling
  • Credit Union
  • Dining
  • Educational Enrichment
  • Financial Aid
  • Fitness and Wellness
  • IT Help Desk
  • KEYS Program
  • Library
  • Media Lab
  • Success Advocates
  • Perkins
  • Early Learning Center
  • Prior Learning Assessment
  • Security + Safety
  • Testing 
  • Transfer + Planning
  • Tutoring
  • Veteran Resources

Faculty + Staff Resources

  • MyBucks
  • Office 365
  • Canvas
  • Faculty Center
  • Faculty Online Resources
  • Professional Development

Get Involved

  • Arts + Entertainment
  • Athletics (External Website)
  • Clubs + Organizations
  • Event Tickets
  • Lectures + Conferences
  • News Releases
  • Student Life
  • Trips + Travel Club

Read Notices + Policies

  • Academic Integrity
  • Code of Conduct
  • Compliance
  • Consumer Information
  • Disclaimers
  • FERPA Policy
  • Holiday Statement
  • Notice of Non-Discrimination
  • Smoking Policy
  • Web Accessibility

Foundation + Alumni

  • Give
  • Alumni
  • Board of Directors
  • Foundation
  • Scholarships
  • Special Events

Explore Campus

  • Bucks Online
  • Newtown Campus
  • Lower Bucks Campus
  • Upper Bucks Campus
  • Parking
  • Facilities Rental
  • Weddings in Tyler Gardens
  • Purchasing
  • Sustainability
  • Emergency Closing Information

Find Jobs

  • Student + Work-Study Employment
  • Faculty + Staff Employment

Discover Bucks

  • Accreditations
  • Board of Trustees
  • Diversity, Equity + Inclusion
  • History
  • Mission + Vision
  • President's Welcome
  • Presidential Search
  • Provide Feedback

Contact Us

  • Ways to Contact Us
  • Faculty + Staff Directory
  • Social Media
  • Report an Issue
  • Emergency Text Alerts
  • System Status
Apply