Calculus and trignometry past question for the year 2019 examines 100-level Science and Technology students of FUNAAB, offering MTS102 course on their knowledge of limits, Calculus, trignometry, domain, range, continuity, differentiation, integration

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## Past Questions related to Calculus and trignometry

Year: 2019

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS101, MTS102

Topics: Set theory, real numbers, complex numbers, rational functions, partial fraction, binomial expansion, sequence, series, matrices, Trigonometry, Differentiation, integration

Year: 2017

School: University of Ilorin

Department: Science and Technology

Course Code: MAT112

Topics: Integration, differentiation

Year: 2020

School: University of Benin

Department: Science and Technology

Course Code: MTH112

Topics: Function limit, continuity, differentiation, product rule theorem

Year: 2014

School: University of Nigeria, Nsukka

Department: Science and Technology

Course Code: MTH121

Topics: Limit, calculus, domain, range, differentiation, intergration

Year: 2019

School: Nnamdi Azikiwe University

Department: Science and Technology

Course Code: MAT102

Topics: Set, limit, logarithm, differentiation, gradient, integration, domain, range

Year: 2013

School: University of Ilorin

Department: Science and Technology

Course Code: MAT112

Topics: Functions, continuity, Limits of Functions, Differentiation, Maxima, minima, Point of inflexion, Taylors series, Maclaurin series

Year: 2016

School: University of Ilorin

Department: Science and Technology

Course Code: MAT329

Topics: Complex-valued function, Milne-Thompson, analytic function, Cauchy-Reimann equation, continuity, differentiation, Integration

Year: 2019

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH201

Topics: domain, range, derivative, function, limit, continuity

Year: 2017

School: University of Uyo

Department: Science and Technology

Course Code: MTT111

Topics: Venn diagram, square root, simultaneous equation, arithmetic progression, domain, range, logarithm, geometric progression, permutation, combination, partial fractions

Year: 2022

School: University of Ilorin

Department: Engineering

Course Code: CHE264

Topics: Limits, Continuity, differentiation, linear first order differential equations, partial and total derivatives of composite functions, vector algebra, Vector calculus, Directional derivatives, Cauchy-Riemann equations, initial value problems, magnification, rotation, harmonic functions, ordinary differential equations, Wronskian, harmonic function, Laurent series, Green's theorem

Year: 2018

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: STC506

Topics: instrument, chromatography, spectroscopy, domain, instrumental

Year: 2018

School: University of Ilorin

Department: Science and Technology

Course Code: MAT332

Topics: Jacobi, Gauss seidel, Chebyshev form, Romberg integration, Natural spline, Orthogonal polynomial, Gram-shmidt, Trapezoidal rule, Simpson rule, metric space

Year: 2019

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: PHY405

Topics: Advanced Electromagnetism, displacement current, Maxwell's equation, continuity equation, stoke theorem, dielectric, electric field, permittivity, wave frequency, electricity, magnetism

Year: 2015

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH101

Topics: Range, partial fractions

### Books related to Calculus and trignometry

Author: GeorgeThomas, Joel Hass, Christopher Heil, Maurice Weir

School: University of Ilorin

Department: Science and Technology

Course Code: MAT112

Topics: Calculus, Trigonometric Functions, functions, limits, continuity, One-Sided Limits, Differentiation Rules, Derivatives, chain rule, implict differentiation, related rates, linearization, differentials, Mean Value Theorem, integrals, Monotonic Functions, First Derivative Test, Concavity, Curve Sketching, Applied Optimization, antiderivatives, Sigma Notation, limits of Finite Sums, Definite integral, Transcendental Functions, inverse functions, natural logarithms, exponential functions, exponential change, seperable differential equation, Indeterminate Form, L’Hôpital’s Rule, Inverse Trigonometric Functions, Hyperbolic Functions, Integration by Parts, integration, trigonometric integrals, trigonometric substitution, Integral Tables, Computer Algebra Systems, probability, numerical integration, improper integrals, probability, First-Order Differential Equations, Slope Fields, Euler’s Method, First-Order Linear Equations, Infinite Sequences, infinite Series, integral test, comparison test, absolute convergence, power series, alternating series, Taylor series, Maclaurin series, Parametric Equations, Polar Coordinates, Conic Sections, vector, Partial Derivatives, Lagrange Multipliers, Multiple Integrals, vector fields, Path Independence, Conservative Fields, Potential Functions, Green’s Theorem, Surface Integrals, Stokes Theorem, Divergence Theorem

Author: Elka Block, Frank Purcell

School: University of Ilorin

Department: Science and Technology

Course Code: MAT112

Topics: Calculus, Trigonometric Functions, functions, limits, continuity, One-Sided Limits, Differentiation Rules, Derivatives, chain rule, implict differentiation, related rates, linearization, differentials, Mean Value Theorem, integrals, Monotonic Functions, First Derivative Test, Concavity, Curve Sketching, Applied Optimization, antiderivatives, Sigma Notation, limits of Finite Sums, Definite integral, Transcendental Functions, inverse functions, natural logarithms, exponential functions, exponential change, seperable differential equation, Indeterminate Form, L’Hôpital’s Rule, Inverse Trigonometric Functions, Hyperbolic Functions, Integration by Parts, integration, trigonometric integrals, trigonometric substitution, Integral Tables, Computer Algebra Systems, probability, numerical integration, improper integrals, probability, First-Order Differential Equations, Slope Fields, Euler’s Method, First-Order Linear Equations, Infinite Sequences, infinite Series, integral test, comparison test, absolute convergence, power series, alternating series, Taylor series, Maclaurin series, Parametric Equations, Polar Coordinates, Conic Sections, vector, Partial Derivatives, Lagrange Multipliers, Multiple Integrals, vector fields, Path Independence, Conservative Fields, Potential Functions, Green’s Theorem, Surface Integrals, Stokes Theorem, Divergence Theorem

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS101

Topics: Calculus, limits, continuity, transcendental function, differentiation, integration, conics, parametric curvess, polar curves, sequence, series, power series, vectors, coordinate geometry, vector functions, curves, partial differentiation, multiple integration, vector fields, vector calculus, differential forms, exterior calculus, ordinary differential equations

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS101

Topics: Limits, Continuity, Calculus, differentiation, Transcendental Functions, Integration, Integration techniques, conics, parametric curves, polar curves, sequence, series, power series, vectors, Coordinate Geometry, vector functions, vector curves, partial differentiation, partial derivatives, multiple integration, vector fields, vector calculus, Differential Forms, Exterior Calculus, Ordinary Differential Equations

Author: Frank Ayres, Elliott Mendelson

School: Nnamdi Azikiwe University

Department: Science and Technology

Course Code: MAT231

Topics: Calculus, linear coordinate systems, absolute value, inequalities, rectangular coordinate systems, lines, circles, parabolas, ellipses, hyperbolas, conic sections, functions, limits, continuity, continuous function, derivative, delta notation, chain rule, inverse functions, implicit differentiation, tangent lines, normal lines, critical numbers, relative maximum relative minimum, cure sketching, concavity, symmetry, points of inflection, vertical asymptotes, trigonometry, trigonometric functions, inverse trigonometric functions, rectilinear motion, circular motion, differentials, Newton's method, antiderivatives, definite integral, sigma notation, natural logarithm, exponential functions, logarithmic functions, L'hopital's rule, exponential growth, decay, half-life, integration by parts, trigonometric integrands, trigonometric substitutions, improper integrals, parametric equations, curvature, plane vectors, curvilinear motion, polar coordinates, infinite sequences, infinite series, geometric series, power series, uniform convergence, Taylor's series, Maclaurin series, partial derivatives, total differential, differentiability, chain rules, space vectors, directional derivatives, vector differentiation, vector integration, double integrals, iterated integrals, centroids, triple integrals, Separable Differential Equations, Homogeneous Functions, Integrating Factors, Second-Order Equations

Author: Michael Evans

School: University of Ilorin

Department: Science and Technology

Course Code: MAT112

Topics: Limits, continuity, pinching theorem

Author: George Thomas, Ross Finney

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS101

Topics: Calculus, Analytic Geometry, real numbers, real line, coordinates, functions, shifting graphs, trignometric functions, rates of change, limits, continuity, tangent lines, derivative of a function, differentiation rules, rates of change, chain rule, derivatives, implicit differentiation, rational exponents, extreme values of functions, mean value theorem, first derivative test, optimization, linearization, differentials, Newton's method, integration, indefinite integrals, differential equations, initial value problems, mathematical modelling, Riemann sums, definite integrals, mean value theorem, fundamental theorem, numerical integration, cylindrical shells, application of integrals, work, fluid pressure, inverse functions, natural logarithms, transcendental functions, L'Hopital's rule, inverse trignometric functions, hyperbolic functions, first order differential equations, Euler's numerical method, Integration formulas, integration by parts, integral tables, infinite series, power series, Maclaurin series, Taylor series, conic sections

Author: MTS FUNAAB

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS102

Topics: Differential calculus, limit, gradient, constant multiple derivative, derivative, product rule, chain rule, quotient rule

Author: MTS FUNAAB

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS101, MTS102

Topics: Set theory, real numbers, comples numbers, rational function, partial fractions, binomial expansion, sequence, series, matrix, trignonometry, differentiation, integration

Author: Joel Hass, Christopher Heil, Przemyslaw Bogacki, Maurice Weir, George Thomas

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS241

Topics: functions, combining functions, trigonometric functions, exponential functions, inverse functions, logarithms, limit, continuity, derivatives, differentiation rules, chain rule, implicit differentiation, inverse trigonometric functions, related rates, linearization, differentials, mean value theorem, monotonic functions, applied optimization, integrals, transcendental functions, hyperbolic functions, integration, trigonometric integrals, trigonometric substitution, numerical integration, improper integrals, infinite sequences, infinite series, integral test, comparison test, absolute convergence, power series, Taylor series, Maclurin series, parametric equations, polar coordinates, vectors, dot product, cross product, vector-valued functions, partial derivatives, saddle points, multiple integrals, vector fields, Euler equations

Author: Ogunfolu Bamidele

Department: Science and Technology

Course Code: MAT101

Topics: limits, evaluating limits, special limits, continuity

Author: Fagbemiro

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS102

Topics: Tangent, Approximation, rate of change, Turning points, Asymptotes, Inflection point

Author: CE Chidume, Chukwudi Chidume

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH301

Topics: real number system, order relation, natural numbers, countable sets, uncountable sets, bounded sets, limits, Monotone Sequences, Sandwich Theorem, limit theorems, Bolzano-Weierstrass Theorem, Limit Superior, Limit Inferior, Cauchy Sequences, continuity, topological notions, One-sided Continuity, Continuity Theorems, Uniform Continuity, Uniform Continuity Theorems, closed sets, compact sets, continuous maps, differentiability, derivative, Rolle’s Theorem, Mean Value Theorem, L’Hospital’s Rule, Nonnegative Real Numbers series, Integral Test, Comparison Test, Limit Comparison Test, Cauchy’s Root Test, D’Alembert’s Ratio Test, Alternating Series, Absolute Convergence, Conditional Convergence, Riemann Integral, Integration, Uniform convergence, Power Series, Equicontinuity, Arzela-Ascoli Theorem

Author: STS181 FUNAAB

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: STS181

Topics: differentiation, integration, algebraic function, calculus

Author: David levermore

School: University of Ilorin

Department: Science and Technology

Course Code: MAT112

Topics: Limits, continuity, differentiability, derivative of elementary function

Author: Philip Brown

School: Edo University

Department: Science and Technology

Course Code: MTH111

Topics: algebra, numbers, fractions, inequalities, cartesian plane, vector algebra, linear equations, trigonometry, trigonometric rations, trigonometric graphs, Pythagorean Identities, functions, Exponential Functions, Absolute Value Function, rational functions, root functions, Piecewise Defined Functions, limits, continuity, Horizontal Asymptotes, differential calculus, Derivative Functions, Tangent Line Problems, chain rule, Euclidean Geometry, Spherical Trigonometry

Author: O'kriso

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH201

Topics: Mathematical methods, domain, range, limits, continuity, partial derivatives, chain rule, gradient, jacobian, implicit differentiation, normal derivative, total differentiation, exact equations, laplace equation, harmonic functions, arbitrary functions, extreme value problems, infinite sequence, infinite series, convergence, divergence, Cauchy ratio test

Author: Okriso

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH102

Topics: functions, domain, range, limits, continuity, asymptote, derivative, differentiation, integration

Author: JF Talbert, HH Heng

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS101

Topics: coordinate geometry, simultaenous equations, functions, domain, range, quadratic function, binomial expansions, radians, arcs, sectors, trigonometry, vectors, calculus, differentiation, integration, remainder theorem, factor theorem, identical polynomials, arithmetic progressions, geometric progressions, exponential functions, logarithmic functions, conversion to linear form

Author: GC Ezeamama

School: Nnamdi Azikiwe University

Department: Science and Technology

Course Code: MAT102

Topics: Limits, Continuous Functions, continuity, left limit, right limit