# Math 2414: Calculus II

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Spring 2019

Synonym: 71960, Section: 004, Northridge 4213
Tuesday / Thursday 10:30 am - 12:15 pm

Learning Outcomes (COURSE 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.

The General Education Competency of:

1.    Critical Thinking: gathering, analyzing, synthesizing, evaluating and applying information is covered in every SLO.

2.    Quantitative and Empirical Reasoning: applying mathematical, logical, and scientific principles and methods is covered in every SLO.

3.    Technology Skills: using appropriate technology to retrieve, manage, analyze, and present information is covered in every SLO.

4.    Written, Oral and Visual Communication: communicating effectively adapting to purpose, structure, audience and medium is covered in every SLO.

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 “F” in 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 Student Accessibility Services (SAS, formerly 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 SAS for this course must provide the instructor with the ‘Notice of Approved Accommodations’ from SAS before accommodations will be provided.  Arrangements for academic accommodations can only be made after the instructor receives the ‘Notice of Approved Accommodations’ from the student.

Students with approved accommodations are encouraged to submit the ‘Notice of Approved Accommodations’ to 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 Student Accessibility Services is available at  HYPERLINK "http://www.austincc.edu/support/osd/" 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 day’s 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 day’s activity, may be withdrawn from the class, and/or barred from attending future activities.

Communication with your Instructor - All e-mail communication to students will be sent solely to the student’s ACCmail account or math software if applicable, with the expectation that such communications will be read in a timely fashion.  Likewise, students should use their ACCmail account or math software when communicating with instructors.  Instructors will respond to student emails within 3 business days, if no response has been received by the student at the end of that time, then the student should send a reminder to the instructor.

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.

Concealed Handgun Policy - The Austin Community College District concealed handgun policy ensures compliance with Section 411.2031 of the Texas Government Code (also known as the Campus Carry Law), while maintaining ACC’s commitment to provide a safe environment for its students, faculty, staff, and visitors. Beginning August 1, 2017, individuals who are licensed to carry (LTC) may do so on campus premises except in locations and at activities prohibited by state or federal law, or the college’s concealed handgun policy. It is the responsibility of license holders to conceal their handguns at all times. Persons who see a handgun on campus are asked to contact the ACC Police Department by dialing 222 from a campus phone or 512-223-7999. Refer to the concealed handgun policy online at austincc.edu/campuscarry.

Student Support Services - Resources to support you are available at every campus.  Food pantries are available at all campus Student Life offices (https://sites.austincc.edu/sl/programs/foodpantry/).  Assistance paying for childcare or utility bills is available at any campus Support Center (http://www.austincc.edu/students/support-center).  For sudden, unexpected expenses that may cause you to withdraw from one or more of your courses, go to http://www.austincc.edu/SEF to request emergency assistance through the Student Emergency Fund.  Help with budgeting for college and family life is available through the Student Money Management Office (http://sites.austincc.edu/money/).  Counselors are available at any campus if you experience a personal or mental health concern (http://www.austincc.edu/students/counseling).  All services are free and confidential.

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

 Week Dates Sections Topics 1 1/22/19 4.8 - 5.5 Whirlwind review of calculus I 1/24/19 5.5 - 5.6 Review of substitution; integration by parts 2 1/29/19 5.6 - 5.7 More integration by parts and trigonometric integrals 1/31/19 5.7 Trig substitution 3 2/5/19 5.7 - 5.8 More trig substitution; integration using tables and computers 2/7/19 5.8 - 5.9 More tables; numerical approximation methods 4 2/12/19 5.9, 5.10 More numerical methods and improper integrals 2/14/19 5.10 More improper integrals and review for Test 1 Test 1 – Dates to be announced in class (probably in the Testing Center) 5 2/19/19 H.1, H.2 Review of polar equations and area in polar coordinates 2/21/19 6.1, H.2 Area in rectangular and polar coordinates 6 2/26/19 6.2 Volumes using slicing; volume of solids of revolution - washers 2/28/19 6.2 - 6.3 Volume of solids of revolution using washers and shells 7 3/5/19 6.6 Physics applications: Work and hydrostatic force 3/7/19 6.6 Physics applications: Centers of mass and more hydrostatic force 8 3/12/19 6.6, 6.4 Physics applications: when to use an integral and how to derive it; Arc-length 3/14/19 6.5 Average value of a function and review for Test 2 Test 2 – Dates to be announced in class (probably in the Testing Center) March 18 - 24, 2019 - Spring Break 9 3/26/19 8.1 - 8.2 Intro – the need to use one type of function to approximate another; sequences and series 3/28/19 8.2 - 8.3 Infinite series and convergence: the integral test and comparison tests 10 4/2/19 8.3 - 8.4 Other tests for convergence, alternating series 4/4/19 8.5 Power series – infinite polynomials 11 4/9/19 8.6 Using power series to represent other functions 4/11/19 8.7 Taylor and Maclaurin series 12 4/16/19 8.8 Applications of Taylor polynomials and error terms 4/18/19 Test 3 (in class) 13 4/23/19 7.1 Modeling and differential equations 4/25/19 7.2 Slope fields and Euler’s method 14 4/30/19 7.3 Solving separable equations 5/2/19 7.4 Exponential growth and decay 15 5/7/19 7.5 Logistic equations 5/9/19 Review for final exam 16 5/14/19 Final Exam, Part 1 5/16/19 Final Exam, Part 2

This webpage was created by Marcus McGuff.
It was last updated on January 12, 2019 .