MAC 2311 : Calculus with Analytic Geometry I

Role

Instructor of record, Spring 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 15% each)	45%
Final Exam	15%
Recitation Activities	15%
Homework	10%
Lecture Activities	6%
Pre-Lessons	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
1–2	Jan 8 – Jan 19	A Library of Functions Sections 1.2, 1.3
3	Jan 22 – Jan 26	A Library of Functions; Key Concept: The Derivative Sections 1.4, 2.2
4–5	Jan 30 – Feb 9	Key Concept: The Derivative Sections 2.2, 2.3, 2.4
6–10	Feb 12 – Mar 18	Short-Cuts to Differentiation Sections 3.2, 3.3
11–14	Mar 19 – Apr 15	Using the Derivative Sections 4.2, 4.3, 4.4, 4.5
15	Apr 16 – Apr 22	Using the Derivative; Key Concept: The Definite Integral Sections 4.6, 5.2, 5.3
16	Apr 23 – Apr 28	Constructing Antiderivatives Sections 6.2, 6.3