Calculus I — 2023.1
Instructor · IGCE-UNESP
Problem sheets (in portuguese) I prepared as an instructor for the class of Calculus I for the first semester of Physics.
| Sheet | Topics | Posted |
|---|---|---|
| Problem Sheet 1 — Pre-calculus I | Absolute values, inequalities, functions | 6 Mar 2023 |
| Problem Sheet 2 — Pre-calculus II | Trigonometric functions and monotonicity of functions | 13 Mar 2023 |
| Problem Sheet 3 — Limits I | Definition of limit and basic properties | 13 Mar 2023 |
| Problem Sheet 4 — Limits II | Left and right limits, infinite limits and limits at infinity | 14 Mar 2023 |
| Extra | Review of pre-calculus, limits and continuity | 21 Mar 2023 |
| Extra II | Review of limits and continuity | 30 Mar 2023 |
| Problem Sheet 5 — Continuity | Definition of continuity and fundamental theorems | 4 Apr 2023 |
| Problem Sheet 6 — Limits and Continuity I | Limits and continuity of functions | 5 Apr 2023 |
| Problem Sheet 7 — Limits and Continuity II | Problems of continuity and limits | 9 Apr 2023 |
| Review Sheet for Exam 1 | Review for the first exam | 17 Apr 2023 |
| Exam 1 | 24 Apr 2023 | |
| Problem Sheet 8 — Derivatives I | Initial definitions and properties | 24 Apr 2023 |
| Problem Sheet 9 — Derivatives II | Implicit differentiation and higher order derivatives | 24 Apr 2023 |
| Problem Sheet 10 — Derivatives III | Implicit differentiation and trigonometric functions | 24 Apr 2023 |
| Problem Sheet 11 — Derivatives IV | Hyperbolic functions | 1 May 2023 |
| Problem Sheet 12 — Problems of derivatives | Related rates | 8 May 2023 |
| Problem Sheet 13 — Derivatives V | Local extrema and the Mean Value Theorem | 13 May 2023 |
| Problem Sheet 14 — Problems of derivatives II | Optimization | 22 May 2023 |
| Problem Sheet 15 — Applications of derivatives | Concavity and points of inflection | 23 May 2023 |
| Problem Sheet 16 — Applications of derivatives II | L’Hôpital’s rules, Limits and graph sketching | 23 May 2023 |
| Problem Sheet 17 — Applications of derivatives III | Taylor Polynomials and linear approximations | 2 Jun 2023 |
| Review Sheet for Exam 2 | Review for the second exam | 20 Jun 2023 |
| Exam 2 | 20 Jun 2023 |
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