Calculus I with Integrated Precalculus 1st edition

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Laura Taalman
Publisher: Macmillan Learning

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  • Chapter 0: Functions and Precalculus
    • 0.1: Numbers and Sets
    • 0.2: Equations
    • 0.3: Inequalities
    • 0.4: Functions and Graphs (21)
    • 0.5: A Basic Library of Functions (4)
    • 0.6: Operations, Transformations, and Inverses (20)
    • 0.7: Logic and Mathematical Thinking (31)
    • 0: Chapter Review (4)
    • 0: Self-Test

  • Chapter 1: Limits
    • 1.1: An Intuitive Introduction to Limits (11)
    • 1.2: Formal Definition of a Limit (13)
    • 1.3: Delta-Epsilon Proofs (16)
    • 1.4: Continuity and Its Consequences (19)
    • 1.5: Limit Rules and Calculating Basic Limits (16)
    • 1.6: Infinite Limits and Indeterminate Forms (15)
    • 1: Chapter Review (1)
    • 1: Self-Test

  • Chapter 2: Derivatives
    • 2.1: An Intuitive Introduction to Derivatives (7)
    • 2.2: Formal Definition of the Derivative (27)
    • 2.3: Rules for Calculating Basic Derivatives (23)
    • 2.4: The Chain Rule and Implicit Differentiation (16)
    • 2: Chapter Review
    • 2: Self-Test

  • Chapter 3: Applications of the Derivative
    • 3.1: The Mean Value Theorem (7)
    • 3.2: The First Derivative and Curve Sketching (5)
    • 3.3: The Second Derivative and Curve Sketching (10)
    • 3.4: Optimization (10)
    • 3.5: Related Rates (10)
    • 3: Chapter Review (2)
    • 3: Self-Test

  • Chapter 4: Calculus with Power, Polynomial, and Rational Functions
    • 4.1: Advanced Algebraic Techniques (3)
    • 4.2: Power Functions (3)
    • 4.3: Polynomial Functions (3)
    • 4.4: Rational Functions
    • 4: Chapter Review
    • 4: Self-Test

  • Chapter 5: Calculus with Exponential and Logarithmic Functions
    • 5.1: Defining Exponential and Logarithmic Functions (5)
    • 5.2: Limits of Exponential and Logarithmic Functions (4)
    • 5.3: Derivatives of Exponential and Logarithmic Functions (9)
    • 5.4: Applications of Exponential Functions
    • 5.5: L'Hôpital's Rule (36)
    • 5: Chapter Review
    • 5: Self-Test

  • Chapter 6: Calculus with Trigonometric and Inverse Trigonometric Functions
    • 6.1: Defining the Trigonometric Functions (6)
    • 6.2: Trigonometric Identities (2)
    • 6.3: Limits and Derivatives of Trigonometric Functions (12)
    • 6.4: Inverse Trigonometric Functions (5)
    • 6: Chapter Review
    • 6: Self-Test

  • Chapter 7: Definite Integrals
    • 7.1: Addition and Accumulation (18)
    • 7.2: Riemann Sums (11)
    • 7.3: Definite Integrals (21)
    • 7.4: Indefinite Integrals (39)
    • 7.5: The Fundamental Theorem of Calculus (21)
    • 7.6: Areas and Average Values (20)
    • 7.7: Functions Defined by Integrals (8)
    • 7: Chapter Review (9)
    • 7: Self-Test

  • Chapter 8: Techniques of Integration
    • 8.1: Integration by Substitution (21)
    • 8.2: Integration by Parts (22)
    • 8.3: Partial Fractions and Other Algebraic Techniques (14)
    • 8.4: Trigonometric Integrals (20)
    • 8.5: Trigonometric Substitution (13)
    • 8.6: Improper Integrals (16)
    • 8.7: Numerical Integration (7)
    • 8: Chapter Review (9)
    • 8: Self-Test

  • Chapter 9: Applications of Integration
    • 9.1: Volumes by Slicing (19)
    • 9.2: Volumes by Shells (20)
    • 9.3: Arc Length and Surface Area (19)
    • 9.4: Real-World Applications of Integration (17)
    • 9.5: Differential Equations (20)
    • 9: Chapter Review (4)
    • 9: Self-Test


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Group Quantity Questions
Chapter 0: Functions and Precalculus
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0.2 001 020 024 028 030 032 036 038 040 042 044 048 050 054 056 060 064 070 072 078
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0.5 4 001 003 011 022 024 026 028 030 032 033 034 039 044 062
0.6 20 001 024.Tutorial 030 031 032 033 034 035 067 069 071 072 073 074 075 076 078 079 080 084
0.7 31 001 017 018 019 020 021 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046
Chapter 1: Limits
1.R 1 020
1.1 11 001 015 039 040 043 044 045 046 069 070 071
1.2 13 001 004 007 008 009 010 011 015 019 022 023 024 066
1.3 16 001 023 024 026 028 032 033 036 042 043 047 053 061 063 065 066
1.4 19 001 007 008 009 010 011 012 024 035 036 040 041 042 052 053 054 058 067 072
1.5 16 001 013 016 017 021 022 023 024 026 043 044 046 049 051 054 057 060
1.6 15 007 008 009 010 023 026 027 028 042 044 046 050 052 053 057
Chapter 2: Derivatives
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Chapter 3: Applications of the Derivative
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3.4 10 013 023 025 026 027 028 029 030 032 056
3.5 10 021 022 024 037 038 039 042 043 052 053
Chapter 4: Calculus with Power, Polynomial, and Rational Functions
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4.2 3 024 032 040 044 050 056 060 063 064 073 078
4.3 3 001 004 008 012 018 024 028 032 036 040 044 048 054 060 069 070 072
4.4 001 020 024 028 030 032 034 036 040 042 044 048 050 054 056 060 064 066 068 070
Chapter 5: Calculus with Exponential and Logarithmic Functions
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5.2 4 021 022 043 052 054 058
5.3 9 013 017 018 019 020 021 023 026 031 034 047 053 057 058
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Chapter 6: Calculus with Trigonometric and Inverse Trigonometric Functions
6.R 015 016 017 018
6.1 6 001 006 028 032 036 053 054 055 056 068 072 078 091 092
6.2 2 001 018 023 025 030 032 036 040 042 044 048 050 054 060
6.3 12 030 036 038 049 050 052 055 062 067 068 085 086
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Chapter 7: Definite Integrals
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7.3 21 021 022 023 024.Tutorial 025 027 029 030 031 034 037 038 041 042 047 048 049 050 051 052 501.XP
7.4 39 021 022 023 024 025 026 027 028 029 030 031 032 033 034 035 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 057 059 060 061 062
7.5 21 019 020 021 022 023 025 029 033 034 035 039 040 041 044 045 046 048 057 059 060.Tutorial 063
7.6 20 028 030 031 034 036 037 041 042 043 045 047 056 057 058 061 063 064 068 069 071
7.7 8 028 030 035 036 042 045 050 053
Chapter 8: Techniques of Integration
8.R 9 006 007 008 012.Tutorial 014 015 020 021 044
8.1 21 021 022 023 025 030 032 041 042 043 051 053 054 058 059 060 066 071 080 084 501.XP 502.XP
8.2 22 027 030 032 035 037 039 044 046 047 048 052 053 055 056 057 060 061 063 070 071 075 501.XP
8.3 14 017 018 021 027 029.Tutorial 030 032 033 034 035 036 037 038 039
8.4 20 021 023 026 034 035 036 037 039 044 045 046 048 050 051 060 067 069 071.Tutorial 072 076
8.5 13 043 044 046 047 053 054 055 056 058 061 062 069 071
8.6 16 021 022 023 024 033 035 037 040.Tutorial 042 045 047 049 052 055 058 061
8.7 7 023 025 029 030 033 035 037
Chapter 9: Applications of Integration
9.R 4 009b.Tutorial 010 019 501.XP
9.1 19 027 028 031 035 036 038 040 041 042 043 044 047 048 049 050 051 052 053 054
9.2 20 029 030 031 032 033 034 035 036 037 038 039 040 041 043 044 050 053 057 061 501.XP
9.3 19 021 022 027 028 031 032 033 037 038 039 040 041 043.Tutorial 044 063 066 067 068 071
9.4 17 019 020 023 042 043 044 045 046 049 050 052 053 056 059 065 066 067
9.5 20 019 020 021 022 023 024 029 030 032 033 034 035 036 037 041 042 045 049 050 051
Total 744 (192)