MAC 2311 : Calculus with Analytic Geometry I

Role

Instructor of record, Fall 2024, responsible for classroom instruction, student mentoring, and assessment feedback. The course was coordinated across multiple sections, with a common departmental syllabus and shared assessments.

Course Overview

The first course in the calculus sequence, taken primarily by students in mathematics, engineering, and the physical sciences. It develops the derivative from the limit concept, applies it to rates and optimization, and introduces integration and the Fundamental Theorem of Calculus.

Topics

• Functions, limits, and continuity
• The derivative: definition, differentiation rules, and implicit differentiation
• Applications of the derivative: related rates, optimization, and curve sketching
• The definite integral and constructing antiderivatives

Grading

Component	Weight
Midterm Exams (3 at 16% each)	48%
Final Exam	16%
Homework	15%
Other Assignments	12%
Attendance / Participation	5%
Quizzes	4%

Course Materials

Hughes-Hallett, D., Gleason, A. M., & McCallum, W. G. (2021). Calculus: Single and multivariable (8th ed.). Wiley.

Schedule

Week	Date	Topic	Materials
1–5	Aug 26 – Sep 26	A Library of Functions Sections 1.2, 1.3, 1.4
6	Sep 30 – Oct 6	A Library of Functions; Key Concept: The Derivative Sections 1.4, 2.2, 2.3
7–8	Oct 7 – Oct 20	Key Concept: The Derivative Sections 2.3, 2.4, 2.5, 2.6
9	Oct 21 – Oct 27	Key Concept: The Derivative; Short-Cuts to Differentiation Sections 2.5, 3.2, 3.3, 3.4
10	Oct 28 – Nov 3	Short-Cuts to Differentiation Sections 3.5, 3.6
11	Nov 4 – Nov 10	Using the Derivative Sections 4.2, 4.3
12	Nov 13 – Nov 14	Key Concept: The Definite Integral Sections 5.2, 5.3
13–14	Nov 18 – Nov 25	Key Concept: The Definite Integral; Constructing Antiderivatives Sections 5.3, 6.2, 6.3
15	Dec 2 – Dec 6	Constructing Antiderivatives Sections 6.4
16	Dec 9	Final Exam Assessment