Fall 2025

Math 16500: Analytic Geometry and Calculus I

Course Day & Time: TBA

In-Person Office Hours will be held in ET 314J

   □ Times: TBA (or by appt)


Course Calendar

Week 1

Monday

Wednesday

Thursday

Friday

8/25/2025

8/27/2025

8/28/2025

8/29/2025

 

Lesson 0: (Notes)

 

   □ Course Information

 

 

Lesson 1: (Notes)

 

   □ Section 1.3: Exponential and Logarithmic Functions

 

 

QUIZ 1 

(Taken with your Recitation TA) 

 

Lessons Covered: 1, 2 

 

 

Lesson 2: (Notes)

 

   □ Section 1.4: Trigonometric Functions and Their Inverses

 

Week 2

Monday

Wednesday

Thursday

Friday

9/1/2025

9/3/2025

9/4/2025

9/5/2025

 

NO CLASS 

(LABOR DAY)

 

 

Lessons 3 + 4: (Notes)

 

   □ Section 2.1 Idea of Limits

   □ Section 2.2 Definition of Limits

      (Handout | Extra Examples)

   □ Section 2.3: Computing the Limits

 

 

QUIZ 2 

(Taken with your Recitation TA) 

UPDATE DUE 9/9/25 

 

Lessons Covered: 3, 4, 5 

 

 

Lesson 5: (Notes)

 

   □ Section 2.4: Infinite Limits

   □ Section 2.5: Limits at Infinity

 

Week 3

Monday

Wednesday

Thursday

Friday

9/8/2025

9/10/2025

9/11/2025

9/12/2025

 

Lesson 6: (Notes)

 

   □ Section 2.6: Continuity

 

 

Lesson 7: (Notes)

 

   □ Section 3.1: Introducing the Derivative

 

 

QUIZ 3 

(Taken with your Recitation TA) 

 

Lessons Covered: 6, 7 

 

 

Lesson 8: (Notes)

 

   □ Section 3.2: Derivative as a Function

 

Week 4

Monday

Wednesday

Thursday

Friday

9/15/2025

9/17/2025

9/16/2025

9/19/2025

 

Lesson 9: (Notes)

 

   □ Sections 3.3 and 3.4: Rules of Differentiation

 

 

Lesson 10: (Notes)

 

   □ Section 3.5: Derivatives of Trigonometric Functions

 

 

QUIZ 4 

(Taken with your Recitation TA) 

 

Lessons Covered: 8, 9, 10 

 

 

Lesson 11: (Notes)

 

   □ Section 3.6: Derivatives as Rate of Change

   □ Section 3.7: Chain Rule (Part 1)

 

Review Session 0.5 Document

 

Week 5

Monday

Wednesday

Thursday

Friday

9/22/2025

9/24/2025

9/25/2025

9/26/2025

 

Lesson 12: (Notes)

 

   □ Section 3.7: Chain Rule (Part 2)

 

Review Session 1 Document

 

 

Exam 1 Review 

 

Study Guides (Assignment | Solutions)

 

Updated on 9/24/25 @ 7:45pm.

 

Review Session 2 Document

 

 

Go over Study Guide with your Recitation TA 

 

 

EXAM 1

Lesson(s) Covered: 1 - 10

Time: IN-CLASS

Location: IN-CLASS

 

Week 6

Monday

Wednesday

Thursday

Friday

9/29/2025

10/1/2025

10/2/2025

10/3/2025

 

Lesson 13: (Notes)

 

   □ Section 3.8: Implicit Differentiation

 

 

Lesson 14: (Notes)

 

   □ Section 3.9: Derivatives of Logarithmic and Exponential Functions

 

Watch this video from 0-5:30 mins before looking at the notes.

 

 

QUIZ 5 

(Taken with your Recitation TA) 

 

Lessons Covered: 11, 12, 13 

 

 

Lesson 15: (Notes)

 

   □ Section 3.9: Derivatives of Functions of the Form f(x)^{g(x)}

 

Watch this video from 0-2:30 mins before looking at the notes.

 

 

 

Week 7

Monday

Wednesday

Thursday

Friday

10/6/2025

10/8/2025

10/9/2025

10/10/2025

 

Lesson 16: (Notes)

 

   □ Section 3.10: Derivatives of the Inverse Trigonometric Functions

 

 

Lesson 17: (Handout | Notes)

 

   □ Section 3.11: Related Rates (Part 1)

 

 

QUIZ 6 

(Taken with your Recitation TA) 

 

Lessons Covered: 14, 15, 16 

 

 

Lesson 18: (Handout | Notes)

 

   □ Section 3.11: Related Rates (Part 2)

 

Week 8

Monday

Wednesday

Thursday

Friday

10/13/2025

10/15/2025

10/16/2025

10/17/2025

 

NO CLASS 

(FALL BREAK)

 

 

Lesson 19: (Notes)

 

   □ Section 4.1: Maxima & Minima

 

 

QUIZ 7 

(Taken with your Recitation TA) 

 

Lessons Covered: 17, 18, 19 

 

 

Lesson 20: (Notes)

 

   □ Section 4.2: Mean Value Theorem

   □ Section 4.3: What derivatives tell us (Part 1)

 

Week 9

Monday

Wednesday

Thursday

Friday

10/20/2025

10/22/2025

10/23/2025

10/24/2025

 

Lesson 21: (Notes)

 

   □ Section 4.3: What derivatives tell us (Part 2)

 

 

Exam 2 Review 

 

Study Guides (Assignment | Solutions)

 

Updated on 10/22/25 @ 3:43pm.

 

 

Go over Study Guide with your Recitation TA 

 

 

EXAM 2

Lesson(s) Covered: 11 - 18

Time: IN-CLASS

Location: IN-CLASS

 

Week 10

Monday

Wednesday

Thursday

Friday

10/27/2025

10/29/2025

10/30/2025

10/31/2025

 

Lesson 22: (Notes)

 

   □ Section 4.4: Graphing Functions

 

 

Lesson 23: (Handout | Notes)

 

   □ Section 4.5: Optimization Problems (Part 1)

 

 

QUIZ 8 

(Taken with your Recitation TA) 

 

Lessons Covered: 20, 21, 22 

 

 

Lesson 24: (Handout | Notes)

 

   □ Section 4.5: Optimization Problems (Part 2)

 

Week 11

Monday

Wednesday

Thursday

Friday

11/3/2025

11/5/2025

11/6/2025

11/7/2025

 

Lesson 25: (Notes)

 

   □ Section 4.6: Linear Approximation and Differentials

 

 

Lesson 26: (Notes)

 

   □ Section 4.7: L'Hopital's Rule

 

 

QUIZ 9 

(Taken with your Recitation TA) 

 

Lessons Covered: 23, 24, 25, 26 

 

 

Lesson 27: (Notes)

 

   □ Section 4.9: Antiderivatives

 

Week 12

Monday

Wednesday

Thursday

Friday

11/10/2025

11/12/2025

11/13/2025

11/14/2025

 

Lesson 28: (Notes)

 

   □ Section 5.1: Approximating the area under curves (Riemann Sums)

 

 

Exam 3 Review 

 

Study Guides (Tips | Assignment | Solutions)

 

Updated on 11/10/25 @ 12:15pm.

 

 

Go over Study Guide with your Recitation TA 

 

 

EXAM 3

Lesson(s) Covered: 19 - 26

Time: IN-CLASS

Location: IN-CLASS

 

Week 13

Monday

Wednesday

Thursday

Friday

11/17/2025

11/19/2025

11/20/2025

11/21/2025

 

Lesson 29: (Notes)

 

   □ Section 5.2: Definite Integrals

 

 

Lesson 30: (Notes)

 

   □ Section 5.3: Fundamental Theorem of Calculus

 

 

QUIZ 10 

(Taken with your Recitation TA) 

 

Lessons Covered: 27, 28, 29, 30 

 

 

Lesson 31: (Notes)

 

   □ Section 5.4: Working with Integrals

 

Week 14

Monday

Wednesday

Thursday

Friday

11/24/2025

11/26/2025

11/27/2025

11/28/2025

 

NO CLASS 

 

 

NO CLASS 

(THANKSGIVING BREAK)

 

 

NO CLASS 

(THANKSGIVING BREAK)

 

 

NO CLASS 

(THANKSGIVING BREAK)

 

Week 15

Monday

Wednesday

Thursday

Friday

12/1/2025

12/3/2025

12/4/2025

12/5/2025

 

Lesson 32: (Notes)

 

   □ Section 5.5: Substitution Rules

 

 

Lesson 33: (Notes)

 

   □ Section 7.2: Exponential Models (Growth & Decay)

 

 

QUIZ 11 

(Taken with your Recitation TA) 

 

Lessons Covered: 31, 32, 33 

 

 

NO CLASS 

 

Week 16

Monday

Wednesday

Thursday

Friday

12/8/2025

12/10/2025

12/11/2025

12/12/2025

 

Review for Final Exam

 

Study Guide (Assignment)

 

 

Review for Final Exam

 

Study Guide (Assignment)

 

 

Review for Final Exam

 

 

Review for Final Exam

 

Study Guide (Assignment)

 

Finals

Week

Monday

Tuesday

Wednesday

Thursday

Friday

12/15/2025

12/16/2025

12/17/2025

12/18/2025

12/19/2025

 

NO CLASS 

 

 

NO CLASS 

 

 

NO CLASS 

 

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