Calc_1 Syllabus - MAC 2311 Calculus with Analytic Geometry I

Sep 26, 2026

Course syllabus for Calculus with Analytic Geometry I (MAC 2311) covering limits, derivatives, continuity, rates of change, optimization, curve sketching, and an introduction to integration and area. Describes prerequisites for placement or prior credit, including ALEKS minimum score and eligible grades or AP/IB credit requirements on file. Outlines general education objectives and Student Learning Outcomes emphasizing mathematical content mastery, clear communication, critical thinking, and application of calculus tools to real-world position, velocity, and acceleration problems.

LanguageEnglish

CategoryExam

FormatPDF

Pages18

Reading Time45 min

AccessFree to download

Prerequisites

Course Description

General Education Objectives and Learning Outcomes

Student Learning Outcomes (SLOs)

Required Materials

E-Learning and Course Access

Prerequisites Course Description General Education Objectives and Learning Outcomes Calculus with Analytic Geometry I MAC 2311 Lecture 4 Credit Hours Summer 2025 Instructor: Joshua Arroyo [E-mail: joshuaarroyo@ufl.edu](E-mail: joshuaarroyo@ufl.edu) Office Hours: TBD Instructor: Xiaochen Duan [E-mail: duanxiaochen@ufl.edu](E-mail: duanxiaochen@ufl.edu) Office Hours: TBD Instructor: George Roman [E-mail: g.roman@ufl.edu](E-mail: g.roman@ufl.edu) Office Hours: TBD Any of the following: Minimum acceptable score on the online mathematics placement exam (ALEKS), which is a 76 or higher; a grade of C in a MAC course numbered 1147 or higher; AP credit for MAC2311; IB credit for a MAC course numbered 1147 or higher. Any course grades, AP, or IB scores used to meet this prerequisite must be on file at UF by registration. In this course, students will develop problem solving skills, critical thinking, computational proficiency, and contextual fluency through the study of limits, derivatives, and definite and indefinite integrals of functions of one variable, including algebraic, exponential, logarithmic, and trigonometric functions, and applications. Topics will include limits, continuity, differentiation, and rates of change, optimization, curve sketching and introduction to integration and area. Introduces analytic geometric; limits; continuity; differentiation of algebraic, trigonometric, exponential and logarithmic functions; applications of the derivative; inverse trigonometric functions; differentials; introduction to integration; and the fundamental theorem of calculus. (M) Credit will be given for, at most, one of MAC 2233, MAC 2311, and MAC 3472 . General Education Objectives provides a description of how the general education requirements are being met. See specifically the relevant mathematics (M) subject area description at the aforementioned link. This course is a mathematics (M) course in the UF General Education Program. Completing this course with a minimum grade of C will satisfy the student’s State Core Mathematics requirement of the UF General Education Program. Courses in mathematics provide instruction in computational strategies in fundamental mathematics including at least one of the following: solving equations and inequalities, logic, statistics, algebra, trigonometry, inductive and deductive reasoning. These courses include reasoning in abstract mathematical systems, formulating mathematical models and arguments, using mathematical models to solve problems and applying mathematical concepts effectively to real-world situations. After successful completion of this course students will have demonstrated competency in the following Student Learning Outcomes (SLOs): • Content: Students demonstrate competence in the terminology, concepts, theories, and methodologies used within the discipline. After completing this course students will gain a knowledge of limits, differentiation, and integration. • Communication: Students communicate knowledge, ideas, and reasoning clearly and effectively in written and oral forms appropriate to the discipline. Throughout this course students will communicate mathematical ideas verbally in their discussion sessions and as well as through writing on discussion quizzes and exams. • Critical Thinking: Students analyze information carefully and logically from multiple perspectives, using discipline-specific methods, and develop reasoned solutions to problems. Students will apply their knowledge to solve problems concerning topics that include, but are not limited to, differentiation techniques, calcuation of exact areas under curves, application of rates of change to physical examples of position, velocity and acceleration, identifying the limit of various functions, using the derivative as a tool for approximation through differentialsand linear approximation, among countless other applications. Student Learning Outcomes After successful

FAQs

What are the prerequisites for taking MAC 2311?

Students must meet one of the listed prerequisites, including an ALEKS score of 76 or higher, a qualifying grade in a MAC course numbered 1147 or higher, or AP/IB credit for MAC2311 or a MAC course numbered 1147 or higher.

What topics are covered in this course?

The course studies limits, continuity, differentiation, and rates of change, including algebraic, exponential, logarithmic, and trigonometric functions, plus applications such as optimization and curve sketching, and an introduction to integration and area.

What Student Learning Outcomes are expected?

Students will be able to calculate limits, derivatives, and integrals, assess continuity and differentiability, analyze relationships between functions and graphs, apply differentiation to model real-world problems, and use integrals and the fundamental theorem of calculus to relate integrals to area.

Sep 26, 2026

Uploaded by Maya Linwood