# Math 2414: Calculus II

Go here for extra course assignments and study sheets.

Summer 2015

Synonym: 30761, Section: 002, Northridge 2244
Monday
Thursday 10:35 11:50 AM

LEARNING OBJECTIVES FOR MATH 2414, Calculus II

Upon successful completion of this course, students will:

1.     Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications.

2.     Use substitution, integration by parts, trigonometric substitution, partial fractions, and tables of anti-derivatives to evaluate definite and indefinite integrals.

3.     Define an improper integral.

4.     Apply the concepts of limits, convergence, and divergence to evaluate some classes of improper integrals.

5.     Determine convergence or divergence of sequences and series.

6.     Use Taylor and MacLaurin series to represent functions.

7.     Use Taylor or MacLaurin series to integrate functions not integrable by conventional methods.

8.     Use the concept of polar coordinates to find areas, lengths of curves, and representations of conic sections.

ACC College Policies

Statement on Scholastic Dishonesty

A student attending ACC assumes responsibility for conduct compatible with the mission of the college as an educational institution.  Students have the responsibility to submit coursework that is the result of their own thought, research, or self-expression.  Students must follow all instructions given by faculty or designated college representatives when taking examinations, placement assessments, tests, quizzes, and evaluations.  Actions constituting scholastic dishonesty include, but are not limited to, plagiarism, cheating, fabrication, collusion, and falsifying documents.    Penalties for scholastic dishonesty will depend upon the nature of the violation and may range from lowering a grade on one assignment to an Fin the course and/or expulsion from the college.  See the Student Standards of Conduct and Disciplinary Process and other policies at http://www.austincc.edu/current/needtoknow

Student Rights and Responsibilities

Students at the college have the rights accorded by the U.S. Constitution to freedom of speech, peaceful assembly, petition, and association. These rights carry with them the responsibility to accord the same rights to others in the college community and not to interfere with or disrupt the educational process. Opportunity for students to examine and question pertinent data and assumptions of a given discipline, guided by the evidence of scholarly research, is appropriate in a learning environment. This concept is accompanied by an equally demanding concept of responsibility on the part of the student. As willing partners in learning, students must comply with college rules and procedures.

Statement on Students with Disabilities

Each ACC campus offers support services for students with documented disabilities.  Students with disabilities who need classroom, academic or other accommodations must request them through the Office for Students with Disabilities (OSD).   Students are encouraged to request accommodations when they register for courses or at least three weeks before the start of the semester, otherwise the provision of accommodations may be delayed.

Students who have received approval for accommodations from OSD for this course must provide the instructor with the Notice of Approved Accommodationsfrom OSD before accommodations will be provided.   Arrangements for academic accommodations can only be made after the instructor receives the Notice of Approved Accommodationsfrom the student.

Students with approved accommodations are encouraged to submit the Notice of Approved Accommodationsto the instructor at the beginning of the semester because a reasonable amount of time may be needed to prepare and arrange for the accommodations.

Additional information about the Office for Students with Disabilities is available at http://www.austincc.edu/support/osd/

Safety Statement

Austin Community College is committed to providing a safe and healthy environment for study and work. You are expected to learn and comply with ACC environmental, health and safety procedures and agree to follow ACC safety policies. Additional information on these can be found at http://www.austincc.edu/ehs. Because some health and safety circumstances are beyond our control, we ask that you become familiar with the Emergency Procedures poster and Campus Safety Plan map in each classroom. Additional information about emergency procedures and how to sign up for ACC Emergency Alerts to be notified in the event of a serious emergency can be found at http://www.austincc.edu/emergency/.

Please note, you are expected to conduct yourself professionally with respect and courtesy to all. Anyone who thoughtlessly or intentionally jeopardizes the health or safety of another individual will be dismissed from the days activity, may be withdrawn from the class, and/or barred from attending future activities.

You are expected to conduct yourself professionally with respect and courtesy to all. Anyone who thoughtlessly or intentionally jeopardizes the health or safety of another individual will be immediately dismissed from the days activity, may be withdrawn from the class, and/or barred from attending future activities.

Use of ACC email

All College e-mail communication to students will be sent solely to the students ACCmail account, with the expectation that such communications will be read in a timely fashion. ACC will send important information and will notify you of any college related emergencies using this account.  Students should only expect to receive email communication from their instructor using this account.  Likewise, students should use their ACCmail account when communicating with instructors and staff.  Instructions for activating an ACCmail account can be found at http://www.austincc.edu/accmail/index.php.

Testing Center Policy

Under certain circumstances, an instructor may have students take an examination in a testing center.  Students using the Academic Testing Center must govern themselves according to the Student Guide for Use of ACC Testing Centers and should read the entire guide before going to take the exam.  To request an exam, one must have:

Course Abbreviation (e.g., ENGL)

Course Number (e.g.,1301)

Course Synonym (e.g., 10123)

Course Section (e.g., 005)

Instructor's Name

Do NOT bring cell phones to the Testing Center.  Having your cell phone in the testing room, regardless of whether it is on or off, will revoke your testing privileges for the remainder of the semester.  ACC Testing Center policies can be found at http://www.austincc.edu/testctr/

Student And Instructional Services

ACC strives to provide exemplary support to its students and offers a broad variety of opportunities and services.  Information on these services and support systems is available at:   http://www.austincc.edu/s4/

Links to many student services and other information can be found at: http://www.austincc.edu/current/

For help setting up your ACCeID, ACC Gmail, or ACC Blackboard, see a Learning Lab Technician at any ACC Learning Lab.

Course Outline and Approximate Calendar:
Please note:  schedule changes may occur during the semester.
Any changes will be announced in class.

 Week Dates Teacher Sections Topics 1 6/1/15 Clarence 4.9-5.5 Whirlwind review of differential calculus 6/2/15 4.9-5.5 Review of integration and substitution 6/3/15 5.9 Numerical approximation of integrals 6/4/15 5.6 Integration by parts 2 6/8/15 5.7 Trigonometric integrals 6/9/15 5.7 Partial fractions 6/10/15 5.7 More partial fractions and Trig substitution 6/11/15 5.7 More Trig substitution 3 6/15/15 5.8 Integration using tables 6/16/15 5.10 Improper integrals 6/17/15 5.10 More improper integrals 6/18/15 Ch. 5 Review for Test 1, summary of methods of integration Test 1 – Dates to be announced in class 4 6/22/15 Marcus 6.1 Areas and integration 6/23/15 6.2 Volumes and slicing 6/24/15 6.2 Volumes of solids of revolution – method of washers 6/25/15 6.3 Volumes of solids of revolution – method of shells 5 6/29/15 6.6 Physics applications – work 6/30/15 6.6 Physics applications – hydrostatic force 7/1/15 6.6 Physics applications – centroids and centers of mass 7/2/15 6.6 Even more physics – so when do you really need to use an integral? 6 7/6/15 6.8 Probability 7/7/15 6.4, 6.5 Arc length and Average value of a function 7/8/15 Ch. 6 Review for Test 2 7/9/15 8.1 Intro – the need to use one type of function to approximate another; sequences Test 2 – Dates to be announced in class 7 7/13/15 8.2 Series – adding it all up, infinite sums 7/14/15 8.3 Testing for convergence – the integral test and the comparison tests 7/15/15 8.3, 8.4 Other tests for convergence, alternating series 7/16/15 8.4 More alternating series, the ratio test 8 7/20/15 8.5 Power series – infinite polynomials 7/21/15 8.6 Using power series to represent other functions 7/22/15 8.6 More power series 7/23/15 8.7 Taylor and Maclaurin series 9 7/27/15 8.7 More fun with Taylor series 7/28/15 8.8 Applications of Taylor polynomials and error terms, Review for Test 3 7/29/15 Clarence 6.1, 6.4 Parametric equations in area and arc length 7/30/15 Appendix H.1 Curves in polar coordinates Test 3 – Dates to be announced in class 10 8/3/15 Appendix H.2 Area and length in polar coordinates 8/4/15 7.1 Modeling and differential equations 8/5/15 7.2 Slope fields and Euler’s method 8/6/15 7.3 Solving separable equations 11 8/10/15 7.4, 7.5 Exponential growth and decay 8/11/15 Ch. 5, 6, 7, 8, App. H Review for the final exam 8/12/15 Final Exam, Part 1 (in class) 8/13/15 Final Exam, Part 2 (in class)

This webpage was created by Marcus McGuff.
It was last updated on January 22, 2016 .