Applied Mathematics
Class XI | SUBJECT CODE (840)
Special efforts has been made
in order to connect it’s application in various fields, so that, students who are opting for
Social Science based subjects or Commerce based subjects or skill based subjects at
senior secondary level can also fulfill their urge of learning mathematics joyfully.
Course Objective
a). To develop an understanding of basic mathematical and statistical tools and their
application in Science, Business, Finance, Economics, and other fields.
b). To develop logical reasoning skills and enhance problem-solving abilities.
b). To develop logical reasoning skills and enhance problem-solving abilities.
Course Features
Applied mathematics involves the application of mathematics to problems which arise in various areas, e.g., science, engineering or other diverse areas, and/or the development of new or improved methods to meet the challenges of new problems.
Instructor in Agriculture
“Applied Mathematics has been designed with an intention to orient the
students towards the mathematical tools relevant in life.”
- E-learning & Onsite classes
- A 'Workshop' class
- Industrial Visit
- Certificate of Completion
Course Content
a. Prime Numbers: Intersecting properties of prime numbers without proof,
Ramanujan’s work on Prime numbers, Encryption, and prime number
b. Ratio, Proportion, and Logarithms: Business Application related to Ratio and Proportion. Practical Applications of Logarithms and Anti Logarithms
b. Ratio, Proportion, and Logarithms: Business Application related to Ratio and Proportion. Practical Applications of Logarithms and Anti Logarithms
Interpretation of Data represented in the form of charts, graphs, Frequency
distribution, Histogram, Pie-chart etc.
Arithmetic Mean, Median, Mode, Geometric and Harmonic Mean, Range,
Mean deviation, Standard Deviation, Variance, coefficient of variation,
skewness.
Profit and Loss, Simple interest, compound interest, depreciation, Effective
rate of interest, present value, net present value, future value, annuities.
Set and their representations, Empty sets, Finite and Infinite sets, Equal sets,
subsets, power set, universal set, Venn diagrams, union, and intersections of
sets, the complement of a set
Pictorial representation of a function, domain, co-domain and range of
function, Function as special type of Relation, it’s Domain and range.
a. Complex Number: Concept of iota, imaginary numbers, arithmetic
operation on the complex number.
b. Sequence and Series: Introduction of sequences, series, Arithmetic, and Geometric Progression. Relationship between AM and GM, the sum of n terms, etc.
c. Permutations and Combinations: Basic concepts of Permutations and Combinations, Factorial, permutations, results, combinations with standard results, Binomial Theorem (statement only).
b. Sequence and Series: Introduction of sequences, series, Arithmetic, and Geometric Progression. Relationship between AM and GM, the sum of n terms, etc.
c. Permutations and Combinations: Basic concepts of Permutations and Combinations, Factorial, permutations, results, combinations with standard results, Binomial Theorem (statement only).
Trigonometric identities, calculation of Height and distance involving angles
of all degrees till 90.