Calculus for Beginners and Artists

Matematika Dasar

1. LImit dan Kekontinuan
   1. Sistem Bilangan Real
   2. Fungsi dan Grafik
   3. Limit dan kekontinuan
   4. Limit Tak Hingga dan Limit di Tak Hingga
2. Turunan dan Penggunaan
   1. Turunan Fungsi
   2. Turunan Fungsi Trigonometri
   3. Teorema Rantai
   4. Turunan Tingkat Tinggi
   5. Fungsi Implisit
   6. Kemonotonan dan Kecekungan Kurva
   7. Nilai Ekstrim
   8. Dalil Delhospital
3. Integral dan Penggunaan
   1. Integral Tak Tentu
   2. Notasi Sigma
   3. Integral Tentu
   4. Luas Daerah
   5. Volume Benda Putar
   6. Panjang Kurva
4. Fungsi Transenden
   1. Fungsi Invers
   2. Fungsi Logaritma dan Eksponen
   3. Fungsi Invers Trigonometri
   4. Fungsi Hiperbolik
   5. Fungsi Invers Hiperbolik
   6. Limit Bentuk Tak Tentu
5. Teknik Pengintegralan
   1. Rumus Baku Integral
   2. Integral Bagian
   3. Integral Fungsi Trigonometri
   4. Integral dengan Substitusi
   5. Integral Fungsi Rasional
6. Integral Tak Wajar
7. Barisan dan Deret
   1. Barisan Bilangan
   2. Deret Tqk Hingga
   3. Deret Berganti Tanda
   4. Konvergen Mutlak dan Bersyarat
   5. Deret Kuasa
   6. Deret Taylor dan Mac Laurin
   7. Turunan dan Integral Deret Kuasa
8. Persamaan Diferensial
   1. Order PD
   2. PD Linear Order Satu
   3. Peubah Terpisah
   4. PD dengan Koefisien Homogen
   5. PD Linear Order Dua Homogen
   6. PD Linear Order Dua Tak Homogen
9. Fungsi Peubah Banyak
   1. Domain dan Range
   2. Permukaan
   3. Turunan Parsial
   4. Vektor Gradien dan Turunan Berarah
   5. Nilai Ekstrim
10. Integral Rangkap
    1. Integral Rangkap Dua
    2. Integral Rangkap Tiga
    3. Volume dan Pusat Massa
    4. Koordinat Tabung dan Koordinat Bola
11. Kalkulus Vektor
    1. Medan Vektor
    2. Integral Garis
    3. Integral Permukaan

Copyright @ 2002, Danang Mursita

Calculus for Beginners and Artists

• Chapter 1 Why Study Calculus?

• Chapter 2 Numbers

• Chapter 3 Linear Functions

• Chapter 4 Quadratics and Derivatives of Functions

• Chapter 5 Rational Functions and the Calculation of Derivatives

• Chapter 6 Exponential Functions, Substitution and the Chain Rule

• Chapter 7 Trigonometric Functions and their Derivatives

• Chapter 8 Inverse Functions and their Derivatives

• Chapter 9 Numerical Differentiation, and Non-Differentiable Functions

• Chapter 10 Review of Functions and Derivatives

• Chapter 11 Modeling Applications to Physics

• Chapter 12 More Modeling Applications

• Chapter 13 Modeling Chemical Reactions and Predator Prey Situations

• Chapter 14 Applications of Differentiation: Solving Equations

• Chapter 15 Applications of Differentiation: Power Series

• Chapter 16 The Antiderivative

• Chapter 17 Areas and Volumes of Parallel Sided Figures

• Chapter 18 Area under a Curve

• Chapter 19 Numerical Integration

• Chapter 20 Solving Differential Equations

• Tools

• Glossary of Notations

• Index

Applets

Precalculus

• Operations on Functions

• Trigonometric Functions

• Slope of a Line

Curves

• Curves in Two Dimensions

Single Variable Calculus

• Derivative and Tangent Line

• Newton's Method

• Numerical Integration

Differential Equations

• First Order ODE

• Second Order ODE

Complex Numbers

• Complex Numbers

Applications

• Series RLC Circuit

Flash Dialogs

• Operations on Functions

• Trigonometric Functions

• Slope of a Line

• Curves in Two Dimensions

• Derivative and Tangent Line

• Newton's Method

• Numerical Integration

• First Order ODE

• Second Order ODE

• Complex Numbers

• Series RLC Circuit