Calculus of Functions of One and Several Variables

Math 8 Winter 2026

Lecture Plan

Below is a tentative schedule for the course. Please check back regularly for updates as the term progresses. The schedule follows the MWF schedule (Sections 2 & 3). The 10A class will split the Tuesday and Thursday lectures over each week.

Class Day Topics Textbook Section(s)
Week 1.1
1/5 (M)
Differentiation (review), Integration (review), Sequences, Series 11.1, 11.2
Week 1.2
1/7 (W)
Series, Integral Test 11.2, 11.3
Week 1.3
1/9 (F)
Integral Test, Comparison Test 11.3, 11.4
Week 2.1
1/12 (M)
Alternating Series, Ratio Test 11.5, 11.6
Week 2.2
1/14 (W)
Power Series, Radius of Convergence 11.8
Week 2.3
1/16 (F)
Functions as power series 11.9
Week 3.1
1/20 (T) or 1/21 (W)
Taylor Series 11.10
Week 3.2
1/21 (W) or 1/22 (Th)
Taylor Series 11.10
Week 3.3
1/23 (F)
Midterm Exam 1 Review
Week 4.1
1/26 (M)
Coordinates and Vectors 12.1, 12.2
1/27 (T)
5pm-7pm
Midterm Exam 1 Rooms: Kemeny 006 (S1); 007 (S2); 008 (S3)
Week 4.2
1/28 (W)
Dot Product & Projection 12.3
Week 3.3
1/30 (F)
Dot Product & Projection 12.3
Week 5.1
2/2 (M)
Cross Product & Geometry 12.4
Week 5.2
2/4 (W)
Representing Lines & Planes 12.5
Week 5.3
2/6 (F)
Representing Lines & Planes 12.5
Week 6.1
2/9 (M)
Vector Functions 13.1
Week 6.2
2/11 (W)
Derivatives and Integrals of Vector Functions; arc length and curvature 13.2, 13.3
Week 6.3
2/13 (F)
Midterm Exam 2 Review
Week 7.1
2/16 (M)
Functions of Several Variables 14.1, 14.2
Week 7.2
2/18 (W)
Partial Derivatives 14.3
2/17 (T)
5pm-7pm
Midterm Exam 2 Rooms: Kemeny 006 (S1); 007 (S2); 008 (S3)
Week 7.3
2/20 (F)
Tangent Planes 14.4
Week 8.1
2/23 (M)
Chain Rule 14.5
Week 8.2
2/25 (W)
Gradient & Directional Derivatives 14.6
Week 8.3
2/27 (F)
Gradient & Directional Derivatives 14.6
Week 9.1
3/2 (M)
Mins & Maxs 14.7
Week 9.2
3/4 (W)
Lagrange Multipliers 14.8
Week 9.3
3/6 (F)
Final Review
Week 10.1
3/9 (M)
Final Review
March 13 8 AM. RM TBD Final Exam