Homework Calculus I

The exercises are numbered according to the pages and the numbers of the included material.

April, Thursday 12
Exercises:
§2.31 (a), (b), (c), (d), (e). (Sequences exercises 1)
§2.44 (a), (b), (c), (d), (e), (f). (Sequences exercises 2)
April, Thursday 19
Exercises:
§3.35 (a), (b), (c), (d). (Functions exercises)
§3.36 (a), (b), (c), (d), (e). (Functions exercises)
§3.38 (a), (c), (d). (Functions exercises)
April, Thursday 26
No Exercises. Please study Graphs and Properties of the main Transcendental Functions.
May, Thursday 10

May, Thursday 17
Exercises:
§3.67 (b), (c). §3.70 (a), (b), (c). (Limits exercises)
§3.82 (a), (b), (c). (Continuity exercises)
May, Thursday 31
Exercises:
§4.46 §4.55 (a) §4.57 (a). (Derivatives exercises)
§4.75 (a), (d) and (e) §4.79. (L'Hospital's exercises)
June, Thursday 14
Exercises:
The following exercises are good examples of Taylor series applications.
Solve the exercises from §1 to §7 and §11, §14, §17, §19 (Taylor exercises.)
All other exercises are optional. Remark: a MacLaurin series is a Taylor series at 0.
Exercises:
§6.1 §. 6.2 (Functions and graphs exercises.)
Middle Term Test preparation Exercises:
Sequences: § 2.15 (a), (e) §. 2.16 §. 2.18 §. 2.45 (a), (d) §. 2.47
Limits: §. 3.67 §. 3.68 §. 3.70 §. 3.71
Derivatives §. 4.55 §. 4.57 §. 4.62
Continuity and Differentiability §. 4.39 §. 4.40 §. 4.46
Material: Middle Term preparation Exercises.
Taylor Series from §1 to §7 and §11, §14, §17, §19 (Taylor exercises.)
June, Thursday 21

June, Thursday 28
Middle Term Exam. Past year exams : 2015 and 2016
July, Thursday 5
Exercises:
§7.70 §. 7.72 (Directional derivatives exercises.)
§7.34 (Gradient, Divergence and Curl exercises.)
July, Thursday 12