Calculus
Kalkulus 1
| Kalkulus 1 | Calculus |
|---|---|
| 1.1 Bilangan Real | E Real Numbers, Intervals, and Inequalities |
| 1.2 Nilai Mutlak | F Absolute Value |
| 1.3 Grafik Persamaan | G Coordinate Planes, Lines, and Linear Functions |
| 1.4 Persamaan Garis dan Jarak | G Coordinate Planes, Lines, and Linear Functions H Distance, Circles, and Quadratic Equations |
| 1.5 Persamaan Lingkaran dan Parabola | H Distance, Circles, and Quadratic Equations |
| 2.1 Definisi dan Notasi Fungsi | 0.1 Functions |
| 2.2 Operasi pada Fungsi | 0.2 New Functions From Old |
| 2.3 Grafik Fungsi | 0.2 New Functions From Old |
| 2.4 Fungsi Invers | 0.4 Inverse Functions; Inverse Trigonometric Functions |
| 3.1 Pengantar Notasi Limit | 1.1 Limits (An Intuitive Approach) |
| 3.2 Penghitungan Limit | 1.2 Computing Limits |
| 3.3 Limit di Tak-Hingga | 1.3 Limits at Infinity; End Behavior of a Function |
| 3.4 Kekontinuan | 1.5 Continuity |
| 4.1 Garis Singgung dan Laju Perubahan | 2.1 Tangent Lines and Rates of Change |
| 4.2 Fungsi Turunan | 2.2 The Derivative Function |
| 4.3 Diferensiasi | 2.3 Introduction to Techniques of Differentiation 2.4 The Product and Quotient Rules |
| 4.4 Aturan Rantai dan Diferensiasi Implisit | 2.6 The Chain Rule 3.1 Implicit Differentiation |
| 5.1 Laju-laju yang Berkaitan | 3.4 Related Rates |
| 5.2 Interval Naik, Turun dan Kecekungan Fungsi | 4.1 Analysis of Functions I: Increase, Decrease, and Concavity |
| 5.3 Ekstrim Relatif, Uji Turunan Pertama dan Kedua | 4.2 Analysis of Functions II: Relative Extrema; Graphing Polynomials |
| 5.4 Grafik Polinomial dan Fungsi Rasional | 4.2 Analysis of Functions II: Relative Extrema; Graphing Polynomials 4.3 Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents |
| 5.5 Nilai Maksimum atau Minimum Suatu Fungsi | 4.4 Absolute Maxima and Minima |
| 5.6 Aplikasi Masalah Maksimum dan Minimum | 4.5 Applied Maximum and Minimum Problems |
| 5.7 Teorema Rolle, Teorema Nilai Rata-rata | 4.8 Rolle’s Theorem; Mean-Value Theorem |
| 6.1 Anti-Turunan; Integral Taktentu | 5.1 An Overview of the Area Problem 5.2 The Indefinite Integral |
| 6.2 Integrasi dengan Substitusi | 5.3 Integration by Substitution |
| 6.3 Luas Sebagai Limit | 5.4 The Definition of Area as a Limit; Sigma Notation |
| 6.4 Integral Tertentu | 5.5 The Definite Integral |
| 6.5 Teorema Fundamental Kalkulus Pertama | 5.6 The Fundamental Theorem of Calculus |
| 6.6 Integral Tertentu dengan Substitusi | 5.9 Evaluating Definite Integrals by Substitution |
| 6.7 Teorema Fundamental Kalkulus Kedua | 5.6 The Fundamental Theorem of Calculus |
| A.1 Bilangan Kompleks | Complex Variables and Applications 1.1 Sums and Products 1.2 Basic Algebraic Properties 1.3 Further Properties 1.4 Vectors and Moduli 1.5 Complex Conjugates |
| A.2 Teorema De Moivre | Complex Variables and Applications 1.6 Exponential Form 1.7 Products and Powers in Exponential Form 1.8 Arguments of Products and Quotients 1.9 Roots of Complex Numbers |
| B.1 Matriks dan Operasi Matriks | Elementary Linear Algebra 1.3 Matrices and Matrix Operations |
| B.2 Operasi Baris Elementer dan Matriks Invers | Elementary Linear Algebra 1.4 Inverses; Algebraic Properties of Matrices 1.5 Elementary Matrices and a Method for Finding A-1 |
| B.3 Sistem Persamaan Linier | Elementary Linear Algebra 1.1 Introduction to Systems of Linear Equations 1.2 Gaussian Elimination |
| B.4 Determinan | Elementary Linear Algebra 2.1 Determinants by Cofactor Expansion 2.2 Evaluating Determinants by Row Reduction 2.3 Properties of Determinants; Cramer’s Rule |
| B.5 Nilai Eigen dan Vektor Eigen | Elementary Linear Algebra 5.1 Eigenvalues and Eigenvectors |
Kalkulus 2
| Kalkulus 2 | Calculus |
|---|---|
| 1.1 Fungsi Eksponensial dan Logaritma | |
| 1.2 Fungsi Invers Trigonometri | |
| 1.3 Fungsi Hiperbolik | |
| 2.1 Integrasi Parsial dan Integrasi Fungsi Trigonometri | |
| 2.2 Integrasi Fungsi Rasional; Pecahan Rasional | |
| 2.3 Teknik-Teknik Integrasi yang Lain | |
| 3.1 Integrasi Numerik | |
| 3.2 Integral Tak Wajar | |
| 3.3 Limit Bentuk Tak Tentu | |
| 4.1 Luas Antara Dua Kurva | |
| 4.2 Menghitung Volume Benda Putar | |
| 4.3 Panjang Suatu Kurva | |
| 4.4 Luas Permukaan Benda Putar | |
| 4.5 Titik Berat (Pusat Massa, Centroid) | |
| 5.1 Persamaan Parametrik | |
| 5.2 Koordinat Kutub | |
| 5.3 Grafik dalam Koordinat Kutub | |
| 5.4 Luas dan Volume dalam Koordinat Kutub | |
| 5.5 Garis Singgung dan Panjang Busur di Koordinat Kutub | |
| 6.1 Barisan Takhingga | |
| 6.2 Deret Takhingga | |
| 6.3 Uji Konvergensi | |
| 6.4 Deret Pangkat; Deret Taylor dan Maclaurin | |
| 6.5 Diferensiasi dan Integrasi Deret Pangkat |