Calculus of Functions of One and Several Variables

Math 8 Winter 2025

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
1/6 (M)
Differentiation (review), Integration (review), Sequences, Series 11.1, 11.2
Week 1.2
1/8 (W)
Series, Integral Test 11.2, 11.3
Week 1.3
1/10 (F)
Integral Test, Comparison Test 11.3, 11.4
Week 2.1
1/13 (M)
Alternating Series, Ratio Test 11.5, 11.6
Week 2.2
1/15 (W)
Power Series, Radius of Convergence 11.8
Week 2.3
1/17 (F)
Functions as power series 11.9
Week 3.1
1/21 (T) or 1/22 (W)
Taylor Series 11.10
Week 3.2
1/22 (W) or 1/23 (Th)
Taylor Series 11.10
Week 3.3
1/24 (F)
Midterm Exam 1 Review
1/27 (M)
5pm-7pm
Midterm Exam 1
Week 4.1
1/27 (M)
Coordinates and Vectors 12.1, 12.2
Week 4.2
1/29 (W)
Dot Product & Projection 12.3
Week 3.3
1/31 (F)
Dot Product & Projection 12.3
Week 5.1
2/3 (M)
Cross Product & Geometry 12.4
Week 5.2
2/5 (W)
Representing Lines & Planes 12.5
Week 5.3
2/7 (F)
Representing Lines & Planes 12.5
Week 6.1
2/10 (M)
Vector Functions 13.1
Week 6.2
2/12 (W)
Derivatives and Integrals of Vector Functions 13.2
Week 6.3
2/14 (F)
Midterm Exam 2 Review
2/17 (M)
5pm-7pm
Midterm Exam 2
Week 7.1
2/17 (M)
Functions of Several Variables 14.1, 14.2
Week 7.2
2/19 (W)
Partial Derivatives 14.3
Week 7.3
2/21 (F)
Tangent Planes 14.4
Week 8.1
2/24 (M)
Chain Rule 14.5
Week 8.2
2/26 (W)
Gradient & Directional Derivatives 14.6
Week 8.3
2/28 (F)
Gradient & Directional Derivatives 14.6
Week 9.1
3/3 (M)
Mins & Maxs 14.7
Week 9.2
3/5 (W)
Lagrange Multipliers 14.8
Week 9.3
3/7 (F)
Final Review
TBD Final Exam