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Questions and Answers
What is the name of the course?
What is the name of the course?
Elementary Mathematics II
What is the course code?
What is the course code?
MTH 102
What are the major components of the course?
What are the major components of the course?
- Presentation Schedule (correct)
- Study Units (correct)
- CDs (correct)
- Course Guide (correct)
- Assignments File (correct)
- Textbooks (correct)
The course has a total of 10 study units.
The course has a total of 10 study units.
The course aims to familiarize students with the peculiar characteristics of elementary mathematics.
The course aims to familiarize students with the peculiar characteristics of elementary mathematics.
The course objectives include educating learners on how integrate mathematical models in sciences and engineering.
The course objectives include educating learners on how integrate mathematical models in sciences and engineering.
Which of these are recommended texts for the course? (Select all that apply)
Which of these are recommended texts for the course? (Select all that apply)
The marks obtained from tutor-marked assignments (TMAs) will count towards the final course mark.
The marks obtained from tutor-marked assignments (TMAs) will count towards the final course mark.
The final examination constitutes 30% of the final grade.
The final examination constitutes 30% of the final grade.
The study units replace university lectures in distance learning.
The study units replace university lectures in distance learning.
What is the first step suggested for students in distance learning?
What is the first step suggested for students in distance learning?
What is the term used to describe a function defined by two or more equations over a specified domain?
What is the term used to describe a function defined by two or more equations over a specified domain?
A one-to-one function can be tested using the vertical line test.
A one-to-one function can be tested using the vertical line test.
The domain of a function is the set of all values that the independent variable can take on.
The domain of a function is the set of all values that the independent variable can take on.
The range of a function is the set of all values that the dependent variable can take on.
The range of a function is the set of all values that the dependent variable can take on.
What is the process of finding a derivative called?
What is the process of finding a derivative called?
The derivative of a function is the slope of the tangent line to the graph of the function.
The derivative of a function is the slope of the tangent line to the graph of the function.
The derivative of a constant is 0.
The derivative of a constant is 0.
The product rule states that the derivative of a product of two functions is the sum of the derivative of each function.
The product rule states that the derivative of a product of two functions is the sum of the derivative of each function.
The quotient rule states that the derivative of a quotient of two functions is the difference of the derivative of each function divided by the square of the denominator.
The quotient rule states that the derivative of a quotient of two functions is the difference of the derivative of each function divided by the square of the denominator.
The chain rule is used when differentiating a function of a function, which is also known as a composite function.
The chain rule is used when differentiating a function of a function, which is also known as a composite function.
Implicit functions are those where a relationship between x and y is implied, and y cannot be explicitly expressed as a function of x.
Implicit functions are those where a relationship between x and y is implied, and y cannot be explicitly expressed as a function of x.
The derivative of a constant is always 0.
The derivative of a constant is always 0.
Integration is the inverse operation of differentiation.
Integration is the inverse operation of differentiation.
The symbol used for integration is the integral sign.
The symbol used for integration is the integral sign.
The process of integration is often compared to what real-world scenario?
The process of integration is often compared to what real-world scenario?
Integration can be used to find areas, volumes, and central points.
Integration can be used to find areas, volumes, and central points.
The indefinite integral always includes an arbitrary constant, "c".
The indefinite integral always includes an arbitrary constant, "c".
The standard integral table provides a list of common integrals that can be directly used to compute integrals.
The standard integral table provides a list of common integrals that can be directly used to compute integrals.
Integration by parts is a method to integrate functions that involve the product of two functions.
Integration by parts is a method to integrate functions that involve the product of two functions.
Integration by partial fractions is a method to integrate functions that involve rational expressions.
Integration by partial fractions is a method to integrate functions that involve rational expressions.
The volume of a solid generated by revolving a curve around an axis is called the solid of revolution.
The volume of a solid generated by revolving a curve around an axis is called the solid of revolution.
The volume of a sphere can be calculated using integration.
The volume of a sphere can be calculated using integration.
The volume of a solid of revolution generated by revolving a curve around the y-axis is calculated using the formula V = 2π * integral from a to b of x*f(x)*dx
The volume of a solid of revolution generated by revolving a curve around the y-axis is calculated using the formula V = 2π * integral from a to b of x*f(x)*dx
The volume of a solid of revolution generated by revolving a curve around the x-axis is calculated using the formula V = π * integral from a to b of (f(x))^2*dx
The volume of a solid of revolution generated by revolving a curve around the x-axis is calculated using the formula V = π * integral from a to b of (f(x))^2*dx
The chain rule can be simplified using the formula: V = 2(x-1)2 + c
The chain rule can be simplified using the formula: V = 2(x-1)2 + c
Integration by parts is a method for integrating products of functions.
Integration by parts is a method for integrating products of functions.
Integration by partial fractions can be used when integrating rational expressions.
Integration by partial fractions can be used when integrating rational expressions.
Flashcards
What is a function?
What is a function?
A relationship between two variables where each value of the independent variable has exactly one corresponding value of the dependent variable.
What is the domain of a function?
What is the domain of a function?
The set of all possible values of the independent variable for which the function is defined.
What is the range of a function?
What is the range of a function?
The set of all possible values of the dependent variable that the function can produce.
What is function notation?
What is function notation?
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What is a graph of a function?
What is a graph of a function?
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What is the vertical line test?
What is the vertical line test?
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What is a one-to-one function?
What is a one-to-one function?
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What is the horizontal line test?
What is the horizontal line test?
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What is a composite function?
What is a composite function?
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What is an inverse function?
What is an inverse function?
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What is a continuous function?
What is a continuous function?
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What is a discontinuity?
What is a discontinuity?
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What is a removable discontinuity?
What is a removable discontinuity?
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What is a non-removable discontinuity?
What is a non-removable discontinuity?
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Study Notes
Course Information
- Course Code: MTH 102
- Course Title: Elementary Mathematics II
- Institution: National Open University of Nigeria (NOUN)
- School: School of Science and Technology
Course Aims
- Introduce fundamental mathematical concepts in elementary mathematics.
- Familiarize students with the core characteristics of elementary mathematics.
- Equip students with the mathematical tools needed in the science field.
- Preparing students for contemporary science studies.
Course Objectives
- Provide students with a strong foundation in mathematical skills for science and engineering.
- Enable students to apply mathematical techniques effectively to solve real-world problems.
- Develop student's proficiency in the integration of mathematical concepts in scientific and engineering fields.
Course Materials
- Course Guide
- Study Units
- Textbooks
- CDs
- Assignment File
- Presentation Schedule
Study Units Breakdown
- Module One: Includes units on functions, graphs, and limits.
- Module Two: Covers derivatives, differentiation techniques, and integration.
- Module Three: Includes units on definite integrals and volumes of solids.
Recommended Texts
- Several textbooks suggested for further reading, including information on set theory, real analysis, and mathematical economics.
Assessment Methods
- Tutor-marked assignments (TMAs)
- A final examination.
- TMAs constitute 30% of the final grade
- The final exam constitutes 70% of the final grade
Course Marking Scheme
- Assignments (30%)
- Final Examination (70%)
- Total (100%)
How to Study
- Carefully read the course guide and develop a personalized study schedule.
- Work through each study unit systematically and carefully.
- Seek assistance from course tutors when needed.
- Submit assignments according to the schedule.
- Regularly review the course materials to enhance comprehension and retention.
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