{"id":475,"date":"2024-10-15T12:14:16","date_gmt":"2024-10-15T05:14:16","guid":{"rendered":"https:\/\/notes.its.ac.id\/dieky\/?page_id=475"},"modified":"2024-11-07T20:22:45","modified_gmt":"2024-11-07T13:22:45","slug":"calculus","status":"publish","type":"page","link":"https:\/\/notes.its.ac.id\/dieky\/calculus\/","title":{"rendered":"Calculus"},"content":{"rendered":"\r\n

Kalkulus 1<\/strong><\/h2>\r\n\r\n\r\n\r\n
\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Kalkulus 1<\/th>\r\nCalculus<\/th>\r\n<\/tr>\r\n
1.1 Bilangan Real<\/td>\r\nE Real Numbers, Intervals, and Inequalities<\/td>\r\n<\/tr>\r\n
1.2 Nilai Mutlak<\/td>\r\nF Absolute Value<\/td>\r\n<\/tr>\r\n
1.3 Grafik Persamaan<\/td>\r\nG Coordinate Planes, Lines, and Linear Functions<\/td>\r\n<\/tr>\r\n
1.4 Persamaan Garis dan Jarak<\/td>\r\nG Coordinate Planes, Lines, and Linear Functions
H Distance, Circles, and Quadratic Equations<\/td>\r\n<\/tr>\r\n
1.5 Persamaan Lingkaran dan Parabola<\/td>\r\nH Distance, Circles, and Quadratic Equations<\/td>\r\n<\/tr>\r\n
2.1 Definisi dan Notasi Fungsi<\/td>\r\n0.1 Functions<\/td>\r\n<\/tr>\r\n
2.2 Operasi pada Fungsi<\/td>\r\n0.2 New Functions From Old<\/td>\r\n<\/tr>\r\n
2.3 Grafik Fungsi<\/td>\r\n0.2 New Functions From Old<\/td>\r\n<\/tr>\r\n
2.4 Fungsi Invers<\/td>\r\n0.4 Inverse Functions; Inverse Trigonometric Functions<\/td>\r\n<\/tr>\r\n
3.1 Pengantar Notasi Limit<\/td>\r\n1.1 Limits (An Intuitive Approach)<\/td>\r\n<\/tr>\r\n
3.2 Penghitungan Limit<\/td>\r\n1.2 Computing Limits<\/td>\r\n<\/tr>\r\n
3.3 Limit di Tak-Hingga<\/td>\r\n1.3 Limits at Infinity; End Behavior of a Function<\/td>\r\n<\/tr>\r\n
3.4 Kekontinuan<\/td>\r\n1.5 Continuity<\/td>\r\n<\/tr>\r\n
4.1 Garis Singgung dan Laju Perubahan<\/td>\r\n2.1 Tangent Lines and Rates of Change<\/td>\r\n<\/tr>\r\n
4.2 Fungsi Turunan<\/td>\r\n2.2 The Derivative Function<\/td>\r\n<\/tr>\r\n
4.3 Diferensiasi<\/td>\r\n2.3 Introduction to Techniques of Differentiation
2.4 The Product and Quotient Rules<\/td>\r\n<\/tr>\r\n
4.4 Aturan Rantai dan Diferensiasi Implisit<\/td>\r\n2.6 The Chain Rule
3.1 Implicit Differentiation<\/td>\r\n<\/tr>\r\n
5.1 Laju-laju yang Berkaitan<\/td>\r\n3.4 Related Rates<\/td>\r\n<\/tr>\r\n
5.2 Interval Naik, Turun dan Kecekungan Fungsi<\/td>\r\n4.1 Analysis of Functions I: Increase, Decrease, and Concavity<\/td>\r\n<\/tr>\r\n
5.3 Ekstrim Relatif, Uji Turunan Pertama dan Kedua<\/td>\r\n4.2 Analysis of Functions II: Relative Extrema; Graphing Polynomials<\/td>\r\n<\/tr>\r\n
5.4 Grafik Polinomial dan Fungsi Rasional<\/td>\r\n4.2 Analysis of Functions II: Relative Extrema; Graphing Polynomials
4.3 Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents<\/td>\r\n<\/tr>\r\n
5.5 Nilai Maksimum atau Minimum Suatu Fungsi<\/td>\r\n4.4 Absolute Maxima and Minima<\/td>\r\n<\/tr>\r\n
5.6 Aplikasi Masalah Maksimum dan Minimum<\/td>\r\n4.5 Applied Maximum and Minimum Problems<\/td>\r\n<\/tr>\r\n
5.7 Teorema Rolle, Teorema Nilai Rata-rata<\/td>\r\n4.8 Rolle’s Theorem; Mean-Value Theorem<\/td>\r\n<\/tr>\r\n
6.1 Anti-Turunan; Integral Taktentu<\/td>\r\n5.1 An Overview of the Area Problem
5.2 The Indefinite Integral<\/td>\r\n<\/tr>\r\n
6.2 Integrasi dengan Substitusi<\/td>\r\n5.3 Integration by Substitution<\/td>\r\n<\/tr>\r\n
6.3 Luas Sebagai Limit<\/td>\r\n5.4 The Definition of Area as a Limit; Sigma Notation<\/td>\r\n<\/tr>\r\n
6.4 Integral Tertentu<\/td>\r\n5.5 The Definite Integral<\/td>\r\n<\/tr>\r\n
6.5 Teorema Fundamental Kalkulus Pertama<\/td>\r\n5.6 The Fundamental Theorem of Calculus<\/td>\r\n<\/tr>\r\n
6.6 Integral Tertentu dengan Substitusi<\/td>\r\n5.9 Evaluating Definite Integrals by Substitution<\/td>\r\n<\/tr>\r\n
6.7 Teorema Fundamental Kalkulus Kedua<\/td>\r\n5.6 The Fundamental Theorem of Calculus<\/td>\r\n<\/tr>\r\n
A.1 Bilangan Kompleks<\/td>\r\nComplex Variables and Applications<\/strong>
1.1 Sums and Products
1.2 Basic Algebraic Properties
1.3 Further Properties
1.4 Vectors and Moduli
1.5 Complex Conjugates<\/td>\r\n<\/tr>\r\n
A.2 Teorema De Moivre<\/td>\r\nComplex Variables and Applications<\/strong>
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<\/td>\r\n<\/tr>\r\n
B.1 Matriks dan Operasi Matriks<\/td>\r\nElementary Linear Algebra<\/strong>
1.3 Matrices and Matrix Operations<\/td>\r\n<\/tr>\r\n
B.2 Operasi Baris Elementer dan Matriks Invers<\/td>\r\nElementary Linear Algebra<\/strong>
1.4 Inverses; Algebraic Properties of Matrices
1.5 Elementary Matrices and a Method for Finding A-1<\/sup><\/td>\r\n<\/tr>\r\n
B.3 Sistem Persamaan Linier<\/td>\r\nElementary Linear Algebra<\/strong>
1.1 Introduction to Systems of Linear Equations
1.2 Gaussian Elimination<\/td>\r\n<\/tr>\r\n
B.4 Determinan<\/td>\r\nElementary Linear Algebra<\/strong>
2.1 Determinants by Cofactor Expansion
2.2 Evaluating Determinants by Row Reduction
2.3 Properties of Determinants; Cramer’s Rule<\/td>\r\n<\/tr>\r\n
B.5 Nilai Eigen dan Vektor Eigen<\/td>\r\nElementary Linear Algebra<\/strong>
5.1 Eigenvalues and Eigenvectors<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/figure>\r\n\r\n\r\n\r\n

Kalkulus 2<\/strong><\/h2>\r\n\r\n\r\n\r\n
\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Kalkulus 2<\/th>\r\nCalculus<\/th>\r\n<\/tr>\r\n
1.1 Fungsi Eksponensial dan Logaritma<\/td>\r\n<\/td>\r\n<\/tr>\r\n
1.2 Fungsi Invers Trigonometri<\/td>\r\n<\/td>\r\n<\/tr>\r\n
1.3 Fungsi Hiperbolik<\/td>\r\n<\/td>\r\n<\/tr>\r\n
2.1 Integrasi Parsial dan Integrasi Fungsi Trigonometri<\/td>\r\n<\/td>\r\n<\/tr>\r\n
2.2 Integrasi Fungsi Rasional; Pecahan Rasional<\/td>\r\n<\/td>\r\n<\/tr>\r\n
2.3 Teknik-Teknik Integrasi yang Lain<\/td>\r\n<\/td>\r\n<\/tr>\r\n
3.1 Integrasi Numerik<\/td>\r\n<\/td>\r\n<\/tr>\r\n
3.2 Integral Tak Wajar<\/td>\r\n<\/td>\r\n<\/tr>\r\n
3.3 Limit Bentuk Tak Tentu<\/td>\r\n<\/td>\r\n<\/tr>\r\n
4.1 Luas Antara Dua Kurva<\/td>\r\n<\/td>\r\n<\/tr>\r\n
4.2 Menghitung Volume Benda Putar<\/td>\r\n<\/td>\r\n<\/tr>\r\n
4.3 Panjang Suatu Kurva<\/td>\r\n<\/td>\r\n<\/tr>\r\n
4.4 Luas Permukaan Benda Putar<\/td>\r\n<\/td>\r\n<\/tr>\r\n
4.5 Titik Berat (Pusat Massa, Centroid)<\/td>\r\n<\/td>\r\n<\/tr>\r\n
5.1 Persamaan Parametrik<\/td>\r\n<\/td>\r\n<\/tr>\r\n
5.2 Koordinat Kutub<\/td>\r\n<\/td>\r\n<\/tr>\r\n
5.3 Grafik dalam Koordinat Kutub<\/td>\r\n<\/td>\r\n<\/tr>\r\n
5.4 Luas dan Volume dalam Koordinat Kutub<\/td>\r\n<\/td>\r\n<\/tr>\r\n
5.5 Garis Singgung dan Panjang Busur di Koordinat Kutub<\/td>\r\n<\/td>\r\n<\/tr>\r\n
6.1 Barisan Takhingga<\/td>\r\n<\/td>\r\n<\/tr>\r\n
6.2 Deret Takhingga<\/td>\r\n<\/td>\r\n<\/tr>\r\n
6.3 Uji Konvergensi<\/td>\r\n<\/td>\r\n<\/tr>\r\n
6.4 Deret Pangkat; Deret Taylor dan Maclaurin<\/td>\r\n<\/td>\r\n<\/tr>\r\n
6.5 Diferensiasi dan Integrasi Deret Pangkat<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/figure>\r\n","protected":false},"excerpt":{"rendered":"

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 FunctionsH 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 Differentiation2.4 The Product and Quotient Rules 4.4 Aturan Rantai dan Diferensiasi Implisit 2.6 The Chain Rule3.1 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 Polynomials4.3 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 Problem5.2 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 Applications1.1 Sums and Products1.2 Basic Algebraic Properties1.3 Further Properties1.4 Vectors and Moduli1.5 Complex Conjugates A.2 Teorema De Moivre Complex Variables and Applications1.6 Exponential Form1.7 Products and Powers in Exponential Form1.8 Arguments of Products and Quotients1.9 Roots of Complex Numbers B.1 Matriks dan Operasi Matriks Elementary Linear Algebra1.3 Matrices and Matrix Operations B.2 Operasi Baris Elementer dan Matriks Invers Elementary Linear Algebra1.4 Inverses; Algebraic Properties of Matrices1.5 Elementary Matrices and a Method for Finding A-1 B.3 Sistem Persamaan Linier Elementary Linear Algebra1.1 Introduction to Systems of Linear Equations1.2 Gaussian Elimination B.4 Determinan Elementary Linear Algebra2.1 Determinants by Cofactor Expansion2.2 Evaluating Determinants by Row Reduction2.3 Properties of Determinants; Cramer’s Rule B.5 Nilai Eigen dan Vektor Eigen Elementary Linear Algebra5.1 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<\/p>\n","protected":false},"author":208,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-475","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/notes.its.ac.id\/dieky\/wp-json\/wp\/v2\/pages\/475","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/notes.its.ac.id\/dieky\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/notes.its.ac.id\/dieky\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/notes.its.ac.id\/dieky\/wp-json\/wp\/v2\/users\/208"}],"replies":[{"embeddable":true,"href":"https:\/\/notes.its.ac.id\/dieky\/wp-json\/wp\/v2\/comments?post=475"}],"version-history":[{"count":21,"href":"https:\/\/notes.its.ac.id\/dieky\/wp-json\/wp\/v2\/pages\/475\/revisions"}],"predecessor-version":[{"id":501,"href":"https:\/\/notes.its.ac.id\/dieky\/wp-json\/wp\/v2\/pages\/475\/revisions\/501"}],"wp:attachment":[{"href":"https:\/\/notes.its.ac.id\/dieky\/wp-json\/wp\/v2\/media?parent=475"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}