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1. Week
P1: Real numbers and the real line: inequalities, intervals, quadratic inequalities, the absolute value.
P2: Cartesian coordinates in the plane: increments and distances, straight lines, equations of straight lines (point-slope, two-point, two-intercept and general).
P3: Graphs of quadratic equations: circles and disks, equations of parabolas, shifting a graph, ellipses and hyperbolas.
P4: Functions and their graphs: domain, graphs, even and odd functions.
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2. Week
P5: Combining functions to make new functions: sums, differences…, composite functions, piecewise defined functions.
P6: Polynomials and Rational Functions.
P7: The Trigonometric Functions.
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3. Week
Chapter 1
1.1 Examples of Velocity, Growth Rate, and Area: examples 1,2,3; the area of a circle.
1.2 Limits of Functions
1.3 Limits at Infinity and Infinite Limits
1.5: The Formal Definition of Limit
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4. Week
Chapter 1
1.4: Continuity: continuity at a point, continuity on an interval, there are lots of continuous functions, continuous extensions and removable discontinuities, continuous functions on closed finite intervals.
Chapter 2
2.1: Tangent Lines and Their Slopes
2.2: The Derivative
2.3: Differentiation Rules
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5. Week
Chapter 2
2.4: The Chain Rule
2.5: Derivative of Trigonometric Functions
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6. Week
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7. Week
Chapter 2
2.6: Higher Order Derivatives
2.8: The Mean Value Theorem: Increasing and decreasing functions
2.9: Implicit Differentiation
2.10: Antiderivatives and Initial Value Problems: Antiderivatives, The definite integral
2.11: Velocity and Acceleration (briefly)
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8. Week
Chapter 3
3.1: Inverse Functions
3.2: Exponential and Logarithmic Functions
3.3: The Natural Logarithm and Exponential
3.5: The Inverse Trigonometric Functions (Genel ters fonksiyonların tanımına dayanılarak anlatılacak, örneğin Definition 13 ve Definition 14 tanım olarak değil, özellik olarak anlatılacak).
3.6: Hyperbolic Functions
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9. Week
Chapter 4
4.3: Indeterminate Forms
4.4: Extreme Values
4.5: Concavity and Inflections (convex and concave functions)
4.6: Sketching the Graph of a Function
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10. Week
4.8: Extreme Value Problems
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11. Week
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12. Week
Chapter 5
5.1 Sums and Sigma Notation
5.2 Areas as Limits of Sums
5.3 The Definite Integral
5.4 Properties of the Definite Integral
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13. Week
Chapter 5
5.5 The Fundamental Theorem of Calculus
5.6 The Method of Substitution
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