Mathematics I

Konular ve Çalışma Soruları

Chapter Subchapter Exercises
1. Functions 1.1  Functions and Their Graphs 1-58
1.2  Combining Functions 1-20
1.3  Trigonometric Functions 1-54
1.5  Exponential Functions 1-20
1.6  Inverse Functions and Logarithms 1-68
2. Limits and Continuity 2.2  Limit of a Function and Limit Laws 1-65
2.3  The Precise Definition of a Limit 1-50
2.4  One-Sided Limits 1-42
2.5  Continuity 1-48
2.6  Limits Involving Infinity; Asymptotes of Graphs 1-104
3. Differentiation 3.1  Tangents and the Derivative at a Point 5-26,
3.2  The Derivative as a Function 1-22
3.3  Differentiation Rules 1-54
3.4  The Derivative as a Rate of Change 1-8
3.5  Derivatives of Trigonometric Functions 1-54
3.6  The Chain Rule 1-90
3.7  Implicit Differentiation 1-40
3.8  Derivatives of Inverse Functions and Logarithms 1-96
3.9  Inverse Trigonometric Functions 1-42
4. Applications of Derivatives 4.1  Extreme Values of Functions 1-78
4.2  The Mean Value Theorem 1-14
4.3  Monotonic Functions and The First Derivative Test 1-64
4.4  Concavity and Curve Sketching 1-100
4.5  Indeterminate Forms and L’Hopitals Rule 1-66
4.6  Applied Optimization 1-36

Kaynaklar:

Calculus 1 Class Notes, Thomas’ Calculus, Early Transcendentals, 12th Edition

Thomas Calculus Early Transcendentals 12th Edition ,  Main Textbook

Paul’s Online Math Notes