Breadcrumb
basic table
Homework is assigned yet not collected, rather used for practice problems
 
Before Class (*Do odd numbered problems in this range.)

HOURS

TOPICS

SECTION

HOMEWORK

2-2

Real Numbers, Sets, Inequalities, Absolute Value

Appendix A

1-29*, 47-55*

1-3

Coordinate Geometry and Lines

Appendix B

1-9*, 21-27*, 43-51*

1-4

Trigonometry

Appendix D

1-15*

1-5

Four Ways to Represent a Function

1.1

3-9*, 27-35*

1-6

Essential Elementary Functions

1.2

1,2

New Functions from Old

1.3

1-5*, 9-21, 33-41*

1-7

Exponentials

1.4

1,2,17-21

1-8

Inverse Functions and Logarithms

1.5

21-26,39-46,61-62

1-9

Limit Concept; Limit Calculation Laws

2.1-2.3

2.3: 1-31*

1-10

Continuity

2.5

None

1-11

Limits at Infinity; Horizontal Asymptotes

2.6

15-29*

1-12

Derivatives and Rates of Change

2.7

None

1-13

Derivatives as Functions

2.8

21-29*

1-14

Derivatives of Polynomials and Exponential Functions

3.1

3-41*

1-15

Product and Quotient Rules

3.2

3-35*

1-16

Derivatives of Trigonometric Functions

3.3

1-21*,27,29

2-18

The Chain Rule

3.4

7-45*

1-19

Implicit Differentiation

3.5

5-15*,25,27

1-20

Logarithmic Differentiation

3.6

3-25*,45-49*

2-22

Related Rates

3.9

1-19*

2-24

Linear Approximations; Differentials; Error Estimation

3.10

1-4,15-18,23-26*

0-24

Derivatives of Hyperbolic Functions

3.11

None

1-25

Maximum and Minimum Values

4.1

29-43*,51-59*

1-26

Optimization Problems

4.7

1,3,9,11,12,15,21,23

1-27

Mean Value Theorem

4.2

5-13

1-28

Indeterminate Forms and L'Hospital's Rule

4.4

9-27*

1-29

Anti-derivatives

4.9

1-17*,27-33*

1-30

Areas and Distances

5.1

None

1-31

The Definite Integral

5.2

None

1-32

The Fundamental Theorem of Calculus

5.3

9-35*

1-33

Indefinite Integrals and Net Change Theorem

5.4

5-15*,27-35*

2-35

The Substitution Rule (Change of Variable)

5.5

7-33*,59-65*

2-37

Integration by Parts

7.1

1-17*

1-38

How Derivatives Affect Graph Shapes

4.3

9-21*

1-39

Newton's Method

4.8

None

6-45

Reviews, Exams, Holidays

During Class
We will be learning the theory and solving problems
Daily Quizzes
There will be daily quizzes over the topics learned the day before, and weekly cumulative tests

 

Sidebar Navigation

Classes Taught

  • (Mathematical Reasoning)
  • MA 1113 (Differential Calculus)
  • (Integral Calculus)
  • (Multivariate Calculus)
  • MA 2025 (Logic and Discrete I)
  • (Logic and Discrete II)
  • (Linear Algebra)
  • MA 4027 (Graph Theory)
  • MA 4394 (Topics in Network Science)
  • MA 4404 (Complex Networks)

Research Tools

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  • (need Java 1.8)
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A forward thinker, Prof. Ralucca Gera is a leader in the classroom and administration with an education strategy focused on quality, effectiveness, and innovation in the education ecosystem. She supports personalized education through intentional learning strategies that emphasize excellence, exploration, and experimentation. She empowers students to be confident learners by cultivating curiosity and inquiry, inspiring them to take ownership of their learning experiences. Dr. Ralucca Gera serves as the Associate Provost for Graduate Education, Director of Teaching and Learning Commons, and Professor of Mathematics at the ºÚÁϳԹÏÍø (NPS).

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