# Math 2413: Calculus I

### Go here for any extra homework assignment(s) I mention in class.

Spring 2019

Synonym: 71945, Section: 006, Northridge 2244
Tuesday / Thursday 2:00 pm - 3:45 pm

COURSE OBJECTIVES/LEARNING OUTCOMES:

Course Objectives for MATH 2413:

1.   Find limits of functions (graphically, numerically and algebraically)

2.   Analyze and apply the notions of continuity and differentiability to algebraic and transcendental functions.

3.   Determine derivatives by a variety of techniques including explicit differentiation, implicit differentiation, and logarithmic differentiation. Use these derivatives to study the characteristics of curves. Determine derivatives using implicit differentiation and use to study characteristics of a curve.

4.   Construct detailed graphs of nontrivial functions using derivatives and limits.

5.   Use basic techniques of integration to find particular or general antiderivatives.

6.   Demonstrate the connection between area and the definite integral.

7.   Apply the Fundamental theorem of calculus to evaluate definite integrals.

8.   Use differentiation and integration to solve real world problems such as rate of change, optimization, and area problems.

Student Learning Outcomes for MATH 2413:

Upon successful completion of this course, students will:

1.   Solve tangent and area problems using the concepts of limits, derivatives, and integrals.

2.   Draw graphs of algebraic and transcendental functions considering limits, continuity, and differentiability at a point.

3.   Determine whether a function is continuous and/or differentiable at a point using limits.

4.   Use differentiation rules to differentiate algebraic and transcendental functions.

5.   Identify appropriate calculus concepts and techniques to provide mathematical models of real-world situations and determine solutions to applied problems.

6.   Evaluate definite integrals using the Fundamental Theorem of Calculus.

7.   Demonstrate an understanding of the relationship between derivatives and integrals using the Fundamental Theorem of Calculus.

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 SLOs # 1, 2, 3, 5, and 7.

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 1.1 - 1.3 Review of functions and transformations 1/24/19 1.4 - 1.7 Graphing technology, review of exponential, inverse, and logarithmic functions, and parametric curves 2 1/29/19 2.1, 2.2, 2.3 Velocity and the tangent line, the idea of the limit; calculating limits 1/31/19 2.3, 2.4, 2.5 More calculation of limits, Continuity, Limits and infinity 3 2/5/19 2.6 The derivative and the rate of change 2/7/19 2.6 - 2.7 More on the derivative and considering the derivative as a function 4 2/12/19 2.7 Graphing the derivative and review for Test 1 2/14/19 Test 1 (in class) 5 2/19/19 2.8 What the derivative tells us about the original function 2/21/19 3.1 Derivatives of polynomial and exponential functions 6 2/26/19 3.2 - 3.3 The product rule and quotient rule and derivatives of trigonometric functions 2/28/19 3.4 The chain rule 7 3/5/19 3.5, 3.7 Implicit differentiation and derivatives of logarithmic functions 3/7/19 4.1 Related rates 8 3/12/19 3.6, 3.9 Derivatives of inverse trig functions, linear approximations and differentials 3/14/19 3.9 More on differentials 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 4.2 Maximum and minimum values of a function 3/28/19 4.3 Derivatives and the shape of 10 4/2/19 4.4 More on graphing and when to reach for a graphing calculator/computer 4/4/19 4.5 Indeterminate forms and L’Hopital’s Rule 11 4/9/19 4.6 Optimization problems 4/11/19 4.6 More optimization problems 12 4/16/19 4.7 Newton’s Method 4/18/19 3.8 Rates of change in the natural and social sciences Test 3 – Dates to be announced in class (probably in the Testing Center) 13 4/23/19 4.8 The antiderivative 4/25/19 5.1 - 5.2 Areas, distances, and the definite integral 14 4/30/19 5.3 Evaluating the definite integral 5/2/19 5.5 Solving integrals via substitution 15 5/7/19 5.5 More substitution 5/9/19 5.4, 5.5 The Fundamental Theorem of Calculus (and more substitution) 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 .