MAC 2311 — Calculus I — Syllabus

Prerequisites: C (2.0) or better in MAC 1114 and C (2.0) or better in MAC 1140, or C (2.0) or better in MAC 1147, or SAT Math score of 650 or better, or ACT Math score of 29 or better, or College-Level Math CPT score of 90 or better, and knowledge of trigonometry.

Course Description: The course meets for approximately 55 hours during a 15-week semester. Successful completion of the course merits 4 semester hours of credit and provides sufficient background for either MAC 2312 (Calculus II) or MAC 2282 (Engineering Calculus II). The schedule outlined below allows time for four midterm exams plus a cumulative final exam, which are the norms for this course. (Note: A “lecture” is defined as a 50-minute time period.)

Foundations of Knowledge & Learning: This course is part of the University of South Florida’s Foundations of Knowledge and Learning (FKL) Core Curriculum. It is certified for Mathematics and Quantitative Reasoning and will meet the following four dimensions: Critical Thinking, Inquiry-based Learning, Scientific Processes, and Quantitative Literacy. Students enrolled in this course will be expected to participate in the USF General Education assessment effort. This might involve answering questions that measure quantitative reasoning skills (but are not directly related to the course), responding to surveys, or participating in other measurements designed to assess the FKL Core Curriculum learning outcomes.

Text: Essential Calculus: Early Transcendentals, by Stewart

Course Content

Chapter 1: Functions and Limits (2-3 weeks)

1.1 Functions and Their Representations (review)
1.2 A Catalog of Essential Functions (review)
1.3 The Limit of a Function
1.4 Calculating Limits
1.5 Continuity
1.6 Limits Involving Infinity
Review

Chapter 2: Derivatives (3-4 weeks)

2.1 Derivatives and Rates of Change
2.2 The Derivative as a Function
2.3 Basic Differentiation Formulas
2.4 The Product and Quotient Rules
2.5 The Chain Rule
2.6 Implicit Differentiation
2.7 Related Rates
2.8 Linear Approximations and Differentials
Review

Chapter 3: Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions (2-3 weeks)

3.1 Exponential Functions (review)
3.2 Inverse Functions and Logarithms (review)
3.3 Derivatives of Logarithmic and Exponential Functions
3.4 Exponential Growth and Decay
3.5 Inverse Trigonometric Functions
3.6 Hyperbolic Functions
3.7 Indeterminate Forms and L'Hôpital's Rule
Review

Chapter 4: Applications of Differentiation (3-4 weeks)

4.1 Maximum and Minimum Values
4.2 The Mean Value Theorem
4.3 Derivatives and the Shapes of Graphs
4.4 Curve Sketching
4.5 Optimization Problems
4.6 Newton's Method (optional)
4.7 Antiderivatives
Review

Chapter 5: Integrals (2-3 weeks)

5.1 Areas and Distances
5.2 The Definite Integral
5.3 Evaluating Definite Integrals
5.4 The Fundamental Theorem of Calculus
5.5 The Substitution Rule
Review

Miscellaneous University/College Policies:

• You are encouraged to take notes and may tape the lectures, but neither your notes nor your tapes are to be sold.
• All unauthorized recordings of class are prohibited. Recordings that accommodate individual student needs must be approved in advance and may be used for personal use during this semester only; redistribution is prohibited.
• Students in need of academic accommodations for a disability may consult with the Office of Students with Disabilities Services (SDS) in SVC 1133 to arrange appropriate accommodations. Students are required to give reasonable notice (typically 5 working days) prior to requesting an accommodation.
• Students who anticipate the necessity of being absent due to the observation of a major religious holiday must provide notice of the date in writing to the instructor by the second class meeting.
• Contingency Course Plan: In the event of an emergency, it may be necessary for USF to suspend normal operations. During this time, USF may opt to continue delivery of instruction through methods that include but are not limited to: Blackboard, Elluminate, Skype, and e-mail messaging and/or alternate scheduling. It is the responsibility of the student to monitor the main USF website, e-mails and MoBull messages for important information about the closure. For information about the continuation of instruction, students are directed to their individual blackboard course sites.
• S-U Policy: Students who want to take this course for a grade of S-U (Satisfactory-Unsatisfactory) must sign the S-U Contract no later than the end of the third week of classes. There will be no exceptions. For further information on S-U grades, please consult the undergraduate catalog. Note: Gordon Rule Math courses cannot be taken for an S-U grade.
• “I” Grade Policy: A grade of “I” indicates incomplete work and will only be assigned when most of the coursework has already been completed with a passing grade. For further information on “I” grades, please consult the undergraduate catalog.

[ Return to Course Descriptions ]