Sakarya Üniversitesi | Sakarya Üniversitesi | Dr.Öğr.Üyesi Emine ÇELİK | Duyuru

Mathematics (MAT 111) Homepage

MAT 111 - Mathematics I Homepage

Fall 2024 University of Sakarya

Instructor: Dr. Emine Celik

Office: College of Science, Block B, Office No 308

Email: eminecelik@sakarya.edu.tr

Web: https://eminecelik.sakarya.edu.tr

For Course Info: https://ebs.sabis.sakarya.edu.tr/Ders/Detay/632391

Textbooks:

[1] Thomas, G.B., Thomas` Calculus, 13e, Pearson Education, 2013.

[2] Larson, R., Edwards, B., Calculus, 11e, Cengage Learning, 2018.

[3] Stewart, J. Calculus, 8e, Cengage Learning, 2016.

Course Materials.

You can use following materials and formula sheets during our class.

Tentative Schedule

Weeks	Topics and Worksheets	Topics and Worksheets
1. Week	What is Calculus? Preliminaries. Lines and Circles Algebra Cheat Sheet	Inequalities, Absolute Value, Trigonometric Functions. Worksheet I Trigonometric Functions
2. Week	Functions and Graphs	Inverse Functions, Inverse Trigonometric Functions Worksheet II
3. Week	Limits, Limit Rules, 0/0 indeterminate form Worksheet III	Vertical Asymptote, Continuity
4. Week	IVT, RLT, Limit to infinity, Horizontal Asymptote Worksheet IV	Exponential and Logarithms, Examples Worksheet V
5. Week	Derivatives, Tangent Lines Definition of Derivative Worksheet VI	Continuity and Differentiability, Normal Lines
6. Week	Differentiation Rules, The Chain Rule	Differentiation Rules, The Chain Rule
7. Week	Implicit Differentiation, Logarithmic Differentiation	Implicit Differentiation, Logarithmic Differentiation Worksheet VII
8. Week	Hyperbolic Functions and Their Derivatives Inverse Hyperbolic Functions and Their Derivatives	Hyperbolic Functions and Their Derivatives Inverse Hyperbolic Functions and Their Derivatives
9. Week	Possible MIDTERM WEEK
10. Week	Linear Approximation and Differentals	Differentials Applications of Derivative: Optimization
11. Week	Absolute extrema, Relative extrema, Critical points, Rolle's Theorem, Mean Value Theorem	Absolute extrema, Relative extrema, Critical points, Rolle's Theorem, Mean Value Theorem Worksheet VIII
12. Week	First Derivative and Second Derivative Rules	First Derivative and Second Derivative Rules
13. Week	L'Hospital Rule, Curve Skethcing	L'Hospital Rule, Curve Skethcing
14. Week	Applications of Derivative: Max and min problems	Applications of Derivative: Max and min problems Worksheet IX
15. Week	Parametric Curves and Their Derivatvies, Examples and Word Problems	Parametric Curves and Their Derivatvies, Examples and Word Problems

Dr.Öğr.Üyesi

Emine ÇELİK

İletişim

Sosyal Hesaplar

Mathematics (MAT 111) Homepage

Tentative Schedule