You are required to attend both lectures and discussion sessions
Please read the corresponding section of the text before each lecture.

SYLLABUS:

Chapter 1. Preliminaries
1. §1.2--1.4. Real numbers, equations for lines, their slopes, Functions and their graphs
   
   Chapter 2. Limits and Continuity
2. §2.1, 2,2, 2.3. Informal and formal limits
3. §2.4. One-sided limits
4. §2.5. Continuity
5. §2.6. Limits involving $\infty$. Asymptotes.
   
   Chapter 3. Differentiation
6. §3.1-3.2. Tangents and Derivatives
7. §3.3. Differentiation Rules
8. §3.4. The Derivative as a Rate of Change
9. §3.5. Derivatives of Trigonometric Functions
10. §3.6. The Chain Rule and Parametric Equations
11. §3.7. Implicit Differentiation
12. §3.8. Related Rates
13. §3.9. Linearization and Differentials
    
    Chapter 4. Applications of Derivatives
14. §4.1. Extreme Values of Functions
15. §4.2. The Mean Value Theorem
16. §4.3. Monotonic Functions and the First Derivative Test
17. §4.4. Concavity and Curve Sketching
18. §4.5. Applied Optimization Problems
19. §4.6. Newton's Method
20. §4.7. Antidifferentiation
    
    Chapter 5. Integration
21. §5.1. Estimating with Finite Sums
22. §5.2. Sigma Notation and Limits of Finite Sums
23. §5.3. The Definite Integral
24. §5.4. The Fundamental Theorem of Calculus
25. §5.5. Indefinite Integrals and the Substitution Rule
26. §5.6. Substitution and Area Between Curves
    
    Chapter 6. Applications of Definite Integrals
27. §6.1, §6.2. Volumes by slices and shells
28. §6.3. Lengths of Plane Curves
29. §6.4. Areas of Surfaces of Revolution
30. §6.5. Work and Fluid Forces (may skip)
31. §6.6. Moments and Centers of Mass (may skip)
    
    Chapter 7. Transcendental Functions
32. §7.1. Inverse Functions and Their Derivatives
33. §7.2, §7.3. Natural Logarithms and Exponentials
34. §7.4. Logs and exponentials to other bases
35. §7.5. Indeterminate Forms and L'Hopital's Rule
36. §7.6. Inverse Trigonometric Functions
37. §7.7. Hyperbolic Functions
38. §7.6. Relative Rates of Growth