Calculus of Functions of One and Several Variables

Math 8 Fall 2024

Lecture Plan

The following is a tentative schedule for the course. Please check back regularly for updates as the term progresses.

Class Day Topics Textbook Section(s)
Week 1.1
9/16 (M)
Differentiation (review), Integration (review), Sequences, Series 11.1, 11.2
Week 1.2
9/18 (W)
Series, Integral Test 11.2, 11.3
Week 1.3
9/20 (F)
Integral Test, Comparison Test 11.3, 11.4
Week 2.1
9/23 (M)
Alternating Series, Ratio Test 11.5, 11.6
Week 2.2
9/25 (W)
Power Series, Radius of Convergence 11.8
Week 2.3
9/27 (F)
Functions as power series 11.9
Week 3.1
9/30 (M)
Taylor Series 11.10
Week 3.2
10/2 (W)
Taylor Series 11.10
Week 3.3
10/4 (F)
Midterm Exam 1 Review
10/7 (M)
5pm-7pm
Midterm Exam 1
Week 4.1
10/7 (M)
Coordinates and Vectors 12.1, 12.2
Week 4.2
10/9 (W)
Dot Product & Projection 12.3
Week 3.3
10/11 (F)
Dot Product & Projection 12.3
Week 5.1
10/14 (M)
Cross Product & Geometry 12.4
Week 5.2
10/16 (W)
Representing Lines & Planes 12.5
Week 5.3
10/18 (F)
Representing Lines & Planes 12.5
Week 6.1
10/21 (M)
Vector Functions 13.1
Week 6.2
10/23 (W)
Derivatives and Integrals of Vector Functions 13.2
Week 6.3
10/25 (F)
Midterm Exam 2 Review
10/28 (M)
5pm-7pm
Midterm Exam 2
Week 7.1
10/28 (M)
Functions of Several Variables 14.1, 14.2
Week 7.2
10/30 (W)
Partial Derivatives 14.3
Week 7.3
11/1 (F)
Tangent Planes 14.4
Week 8.1
11/4 (M)
Chain Rule 14.5
Week 8.2
11/6 (W)
Gradient & Directional Derivatives 14.6
Week 8.3
11/8 (F)
Gradient & Directional Derivatives 14.6
Week 9.1
11/11 (M)
Mins & Maxs 14.7
Week 9.2
11/13 (W)
Lagrange Multipliers 14.8
Week 9.3
11/15 (F)
Final Review
11/22 (F) Final Exam