ALG Calculus II Portal
Course Text
[G] Links to Calculus: Late Transcendentals by Guichard and friends
[H] Links to APEX Calculus by Hartman et al.
Chapter A: Transcendental Functions
Section Topic | Link to Guichard et al. | Link to Hartman et al. |
A.1 Inverse Functions | Section A.1 [G] (9.1) | |
A.2 The Natural Logarithm | Section A.2 [G] (9.2) | |
A.3 The Exponential Function | Section A.3 [G] (9.3) | |
A.4 Other Bases | Section A.4 [G] (9.4) | |
A.5 Inverse Trigonometric Functions |
Section A.5 [G] (9.5) |
Section A.5 [H] (2.7) |
Chapter B: Techniques of Integration
Section Topic | Link to Guichard et al. | Link to Hartman et al. |
B.1 Trigonometric Integrals | Section B.1 [G] (10.1) | Section B.1 [H] (6.3) |
B.2Trigonometric Substitution | Section B.2 [G] (10.2) | Section B.2 [H] (6.4) |
B.3 Integration by Parts | Section B.3 [G] (10.3) | Section B.3 [H] (6.2) |
B.4 Rational Functions-Partial Fractions | Section B.4 [G] (10.4) | Section B.4 [H] (6.5) |
B.5 Numerical Integration | Section B.5 [G] (10.5) | |
B.6 L'Hopital's Rule | Section B.6 [G] (4.7) | Section B.6 [H] (6.7) |
B.7 Improper Integrals | Section B.7 [G] (11.2) | Section B.7 [H] (6.8) |
B.8 Additional Integration Exercises | Section B.8 [G] (10.6) |
Chapter C: Polar Coordinates, Parametric Equations
Section Topic | Link to Guichard et al. | |
C.1 Polar Coordinates | Section C.1 [G] (12.1) | |
C.2 Slopes in Polar Coordinates | Section C.2 [G] (12.2) | |
C.3 Areas in Polar Coordinates | Section C.3 [G] (12.3) | |
C.4 Parametric Equations | Section C.4 [G] (12.4) | |
C.5 Calculus with Parametric Equations | Section C.5 [G] (12.5) |
Chapter D: Sequences and Series
Section Topic | Link to Guichard et al. | Link to Hartman et al. |
D.1 Sequences | Section D.1 [G] (13.1) | Section D.1 [H] (8.1) |
D.2 Series | Section D.2 [G] (13.2) | Section D.2 [H] (8.2) |
D.3 The Integral Test | Section D.3 [G] (13.3) | Section D.3 [H] (8.3) |
D.4 Alternating Series | Section D.4 [G] (13.4) | Section D.4 [H] (8.5) |
D.5 Comparison Tests | Section D.5 [G] (13.5) | Section D.5 [H] (8.3) |
D.6 Absolute Convergence | Section D.6 [G] (13.6) | Section D.6 [H] (8.5) |
D.7 The Root and Ratio Tests | Section D.7 [G] (13.7) | Section D.7 [H] (8.4) |
D.8 Power Series | Section D.8 [G] (13.8) | Section D.8 [H] (8.6) |
D.9 Calculus with Power Series | Section D.9 [G] (13.9) | |
D.10 Taylor Series | Section D.10 [G] (13.10) | Section D.10 [H] (8.8) |
D.11 Taylor Polynomials | Section D.11 [G] (13.11) | Section D.11 [H] (8.7) |
D.12 Additional Exercises | Section D.12 [G] (13.12) |
Supplemental Materials
Derivative, Integral, and other Formula Tables
Instructional Materials
Available Lecture Slides