MATH 2413 CALCULUS I (4-4-0)  A standard first course in calculus. Topics include inequalities; functions; limits; continuity; the derivative; differentiation of algebraic functions and trigonometric functions; Newton's method; applications of the derivative; the integral; integration of algebraic functions and the sine and cosine functions; numerical integration; and applications of the integral.

PREREQUISITE:

Satisfactory scores on both the ACC Mathematics Assessment and Higher Level Placement Tests OR MATH 2412 Pre-calculus with a grade of C or higher.

REQUIRED TEXT:

Calculus: Concepts and Contexts, 4th ed., by James Stewart, Brooks/Cole 2010

Please Note: For Calculus I and Calculus II, the Single Version (SV) is required. ISBN 9781111027308

For Calculus III, the Multivariable Version (MV) is required. ISBN 9780538460293

You can purchase a Full Version of the text that includes all material for Calculus I, II, and III if you plan to take the entire sequence at Austin Community College.  ISBN 9780538796859

Online Component:  Enhanced WebAssign (EWA) may be required for one or all of the Calculus courses.  Access to EWA includes a complete online eBook.  You may purchase EWA access in one of three ways: 

• Bundled textbooks with access codes are available at ACC bookstores.
• Bundled textbooks with access codes are available for purchase and delivery from the publisher.
  http://www.cengagebrain.com/course/1996253
• You may use a credit card or PayPal to purchase EWA access online with the online book if you do not want a hardcover book from the website above. 

It is recommended that you register for EWA when you purchase your textbook regardless of whether or not your initial instructor requires the program. Please refer to the handout for login and enrollment information.

OPTIONAL SUPPLEMENTS:
Student Solutions Manual, ISBN 9780495560616, by Jeffrey A. Cole

REQUIRED TECHNOLOGY:
You must have access to technology that enables you to (1) Graph a function, (2) Find the zeroes of a function. Most ACC faculty are familiar with the TI family of graphing calculators. Hence, TI calculators are highly recommended for student use. Other calculator brands can also be used. Your instructor will determine the extent of calculator use in your class section.

INSTRUCTIONAL METHODOLOGY:
This course is taught in the classroom primarily as a lecture/discussion course.

COURSE RATIONALE:

This course is the first course in the traditional calculus sequence for mathematics, science and engineering students. It is part of what could be a four-semester sequence in calculus courses. The approach allows the use of technology and the rule of four (topics are presented geometrically, numerically, algebraically, and verbally) to focus on conceptual understanding. At the same time, it retains the strength of the traditional calculus by exposing the students to the rigor of proofs and the full variety of traditional topics: limits, continuity, derivative, applications of the derivative, and an introduction to the definite integral.

General Course Policies 

COURSE EVALUATION/GRADING SCHEME
 

Course Evaluation/Grading scheme:
Homework: Homework is an essential part of class. Homework will be assigned for each section. Homework will be graded for completion of each problem, organization and presentation, and neatness and effort put into the homework problems. Homework can be kept in a binder, notebook, or loose paper. Homework is due on the exam days (see class schedule). Each Homework assignment is worth 20 points.

Quiz: There will be four 10 point quizzes. Quizzes are graded either right or wrong, no partial credit. There will be no make up for quizzes under any circumstances.

Exams: There will be three 100 point exams and a 100 point Final exam.
 

Grades: Grades will be calculated using total points (500 possible points)

A – (450-500)    B – (400-449)  C – (350-399)   D – (300-349)   F – (299 )

COURSE POLICIES

Missed exam policy  Any student missing an exam must email the instructor beforehand and make up the test within 3 days of the initial test date.

*The Final exam grade may replace a lower test score, if a student has good attendance (4 or less absences), has turned in all homework assignments, and put forth good effort in class. Completely up to the discretion of the instructor. 

Late work policy  No late work will be accepted.

Class participation expectations  Each student is expected to participate in all course activities.

Attendance/Class Participation
Regular and punctual class attendance is expected of all students.  If attendance or compliance with other course policies is unsatisfactory, the instructor may withdraw students from the class. Students who miss 6 classes without a valid excuse may be withdrawn.

Students are expected to participate in class by attending, asking questions, and contributing suggestions and ideas.
Disruptive behavior will not be tolerated. Repeat offenders may be withdrawn.
All cell phones must be turned off. Please be courteous.

Withdrawal Policy

It is the responsibility of each student to ensure that his or her name is removed from the roll should he or she decide to withdraw from the class.  The instructor does, however, reserve the right to drop a student should he or she feel it is necessary.  If a student decides to withdraw, he or she should also verify that the withdrawal is submitted before the Final Withdrawal Date.  The student is also strongly encouraged to retain their copy of the withdrawal form for their records. Students who enroll for the third or subsequent time in a course taken since Fall 2002, may be charged a higher tuition rate, for that course.

State law permits students to withdraw from no more than six courses during their entire undergraduate career at Texas public colleges or universities.  With certain exceptions, all course withdrawals automatically count towards this limit.  Details regarding this policy can be found in the ACC college catalog.

*The withdrawal deadline is Monday, Nov 26th 2018.
 

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.

Attendance/Class Participation: Regular and punctual class attendance is expected of all students.  If attendance or compliance with other course policies is unsatisfactory, the instructor may withdraw students from the class.

 

Incomplete Grades:  “Incomplete grades (I) will be given only in very rare circumstances. Generally, to receive a grade of "I", a student must have taken all examinations, be passing, and after the last date to withdraw, have a personal tragedy occur which prevents course completion. An incomplete grade cannot be carried beyond the established date in the following semester. The completion date is determined by the instructor but may not be later than the final deadline for withdrawal in the subsequent semester.

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 http://www.austincc.edu/support-and-services/services-for-students/disability-services-and-assistive-technology

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.

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.

Use of ACC email:  All College e-mail communication to students will be sent solely to the student’s 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.

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:

                        1.         ACC Photo ID

                        2.         Course Abbreviation (e.g., ENGL)

                        3.         Course Number (e.g.,1301)                         

                        4.         Course Synonym (e.g., 10123)

                        5.         Course Section (e.g., 005)

                        6.         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/

ACC Learning Labs provide free tutoring services to all ACC students currently enrolled in the course to be tutored.  The tutor schedule for each Learning Lab may be found at:  http://www.autincc.edu/tutor

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

Course-Specific Support Services: Sometimes sections of MATH 0187 (1-0-2) are offered. This lab is designed for students currently registered in Calculus I MATH 2413. It offers individualized and group setting to provide additional practice and explanation. This course is not for college-level credit. Repeatable up to two credit hours.

Calculus: Concepts and Contexts, 4th ed., by James Stewart, Brooks/Cole 2010

Topics include inequalities; functions; limits; continuity; the derivative; differentiation of algebraic functions and trigonometric functions; Newton's method; applications of the derivative; the integral; integration of algebraic functions and the sine and cosine functions; numerical integration; and applications of the integral. 

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.