The system can be purchased and installed for $110,000, and it will save an estimated 300,000 kilowatt-hours (kWh) of electric power each year over a six-year period. While this certificate may not be used as the main criterion for university admission, there are university admission officers willing to take this certification for consideration under the ASA or Discretionary Admission consideration.Ī retrofitted space-heating system is being considered for a small office building. Digital Certificate A digital certificate will be issued if you have successfully completed this ePrep course and passing all the tests at the end of each of the ten compulsory chapters. Bonus learning materials in other subjects such as business finance, corporate finance, engineering economy, economics, physics, mechanics, Python programming, life science, biotechnology, and psychology. Bonus learning materials in other branches of mathematics, including algebra, geometry, trigonometry, linear algebra, linear programming, discrete mathematics, probability, and statistics 6. Problems, answers and solutions in the same file. Answers/solutions to all questions/problems in the textbook. He provides very personalized guidance according to the student’s needs. You can consult him via email or WhatsApp. Free Consultation A retired NTU professor is acting as the tutor. Millions of students worldwide have used the textbooks by James Stewart. Free Textbook “Calculus” is a very popular Calculus Textbook, authored by James Stewart, Daniel Clegg and Saleem Watson, 9th Ed. Due to the constraints of time, only the first ten chapters are compulsory for certification purposes, but materials and support for the remaining seven chapters are also available.ġ.2: Mathematical Models: A Catalog of Essential Functionsġ.6: Calculating Limits Using the Limit LawsĢ.4: Derivatives of Trigonometric FunctionsĢ.7: Rates of Change in the Natural and Social SciencesĢ.9: Linear Approximations and DifferentialsĬhapter 3: Applications of Differentiationģ.3: How Derivatives Affect the Shape of a Graphģ.4: Limits at Infinity Horizontal Asymptotesģ.6: Graphing with Calculus and CalculatorsĤ.4: Indefinite Integrals and the Net Change TheoremĦ.2: Exponential Functions and Their DerivativesĦ.4: Derivatives of Logarithmic FunctionsĦ.4*: General Logarithmic and Exponential FunctionsĦ.8: Indeterminate Forms and l’Hospital’s Ruleħ.4: Integration of Rational Functions by Partial Fractionsħ.6: Integration Using Tables and Computer Algebra SystemsĬhapter 8: Further Applications of IntegrationĨ.3: Applications to Physics and EngineeringĨ.4: Applications to Economics and Biologyĩ.1: Modeling with Differential EquationsĬhapter 10: Parametric Equations and Polar Coordinatesġ0.1: Curves Defined by Parametric Equationsġ0.4: Areas and Lengths in Polar Coordinatesġ0.6: Conic Sections in Polar CoordinatesĬhapter 11: Infinite Sequences and Seriesġ1.3: The Integral Test and Estimates of Sumsġ1.6: Absolute Convergence and the Ratio and Root Testsġ1.9: Representations of Functions as Power Seriesġ1.11: Applications of Taylor PolynomialsĬhapter 12: Vectors and the Geometry of Spaceġ2.1: Three-Dimensional Coordinate Systemsġ3.2: Derivatives and Integrals of Vector Functionsġ3.4: Motion in Space: Velocity and Accelerationġ4.4: Tangent Planes and Linear Approximationsġ4.6: Directional Derivatives and the Gradient Vectorġ5.3: Double Integrals over General Regionsġ5.4: Double Integrals in Polar Coordinatesġ5.8: Triple Integrals in Cylindrical Coordinatesġ5.9: Triple Integrals in Spherical Coordinatesġ5.10: Change of Variables in Multiple Integralsġ6.3: The Fundamental Theorem for Line Integralsġ6.6: Parametric Surfaces and Their AreasĬhapter 17: Second-Order Differential Equationsġ7.3: Applications of Second-Order Differential Equations
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